Leonard Eugene Dickson 1874-1954
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- Bull. Amer. Math. Soc. 61 (1955), 331-345
References
- Leonard E. Dickson, On the inscription of regular polygons, Ann. of Math. 9 (1894/95), no. 1-6, 73–84. MR 1502183, DOI 10.2307/1967509 2. Leonard Eugene Dickson, Gergonne’s pile problem, Bull. Amer. Math. Soc. vol. 1 (1895) pp. 184-186. 3. Leonard Eugene Dickson, Cyclic numbers, Quarterly Journal of Pure and Applied Mathematics vol. 27 (1895) pp. 366-377. 4. Leonard Eugene Dickson, A quadratic Cremona transformation defined by a conic, Rend. Circ. Mat. Palermo vol. 9 (1895) pp. 256-257.
- Leonard E. Dickson, Analytic Functions Suitable to Represent Substitutions, Amer. J. Math. 18 (1896), no. 3, 210–218. MR 1505712, DOI 10.2307/2369795
- Leonard Eugene Dickson, The analytic representation of substitutions on a power of a prime number of letters with a discussion of the linear group, Ann. of Math. 11 (1896/97), no. 1-6, 161–183. MR 1502221, DOI 10.2307/1967224 7. Leonard Eugene Dickson, A triply infinite system of simple groups, Quarterly Journal of Pure and Applied Mathematics vol. 29 (1897) pp. 169-178. 8. Leonard Eugene Dickson, Systems of continuous and discontinuous simple groups, Bull. Amer. Math. Soc. vol. 3 (1897) pp. 265-273. 9. Leonard Eugene Dickson, Higher irreducible congruences, Bull. Amer. Math. Soc. vol. 3 (1897) pp. 381-389. 10. Leonard Eugene Dickson, Orthogonal group in a Galois field, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 196-200. 11. Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal group, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 382-389. 12. Leonard Eugene Dickson, The structure of the hypoabelian groups, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 495-510.
- Karen V. H. Parshall, A study in group theory: Leonard Eugene Dickson’s Linear groups, Math. Intelligencer 13 (1991), no. 1, 7–11. MR 1084530, DOI 10.1007/BF03024065 14. Leonard Eugene Dickson, A new triply-infinite system of simple groups obtained by a twofold generalization of Jordan’s first hypoabelian group, Bull. Amer. Math. Soc. vol. 5 (1898) pp. 10-12. 15. Leonard Eugene Dickson, Concerning a linear homogeneous group in C, Bull. Amer. Math. Soc. vol. 5 (1898) pp. 120-135. 16. Leonard Eugene Dickson, Simplicity of the Abelian group on two pairs of indices in the Galois field of order 2>1, Quarterly Journal of Pure and Applied Mathematics vol. 30 (1898) pp. 383-384. 17. Leonard Eugene Dickson, The quadratic Cremona transformation, Proceedings of the California Academy of Sciences vol. 1 (1898) pp. 13-23. 18. Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal group, Proceedings of the California Academy of Sciences vol. 1 (1898) pp. 29-40. 19. Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal groups, Proceedings of the California Academy of Sciences vol. 1 (1899) pp. 47-57. 20. Leonard Eugene Dickson, The structure of certain linear groups with quadratic invariants, Proc. London Math. Soc. vol. 30 (1899) pp. 70-98. 21. Leonard Eugene Dickson, A class of linear groups including the Abelian one, Quarterly Journal of Pure and Applied Mathematics vol. 31 (1899) pp. 60-66. 22. Leonard Eugene Dickson, The group of linear homogeneous substitutions on $mq$ variables which is defined by the invariant $\Phi =\sum łimits_{i=1}^{i=m}\xi _{i1}\xi _{i2}\dots \xi _iq$, Proc. London Math. Soc. vol. 30 (1899) pp. 200-208.
- Leonard Eugene Dickson, Determination of the Structure of All Linear Homogeneous Groups in a Galois Field Which are Defined by a Quadratic Invariant, Amer. J. Math. 21 (1899), no. 3, 193–256. MR 1505798, DOI 10.2307/2369602 24. Leonard Eugene Dickson, Sur plusieurs groupes linéaires isomorphes au groups simple d’ordre 25920, C. R. Acad. Sci. Paris vol. 128 (1899) pp. 873-875. 25. Leonard Eugene Dickson, The largest linear homogeneous group with an invariant Pfaffian, Bull. Amer. Math. Soc. vol. 5 (1899) pp. 338-342. 26. Leonard Eugene Dickson, The known finite simple groups, Bull. Amer. Math. Soc. vol. 5 (1899) pp. 470-475. 27. Leonard Eugene Dickson, Sur une généralisation du théoréme de Fermat, C. R. Acad. Sci. Paris vol. 128 (1899) pp. 1083-1085. 28. Leonard Eugene Dickson, A generalization of Fermat’s theorem, Ann. of Math. vol. 1 (1899) pp. 31-36. 29. Leonard Eugene Dickson, Report on the recent progress in the theory of linear groups, Bull. Amer. Math. Soc. vol. 6 (1899) pp. 13-27. 30. Leonard Eugene Dickson, Concerning the four known simple linear groups of order 25920, with an introduction to the hyper-abelian linear groups, Proc. London Math. Soc. vol. 31 (1899) pp. 30-68. 31. Leonard Eugene Dickson, The abstract group isomorphic with the symmetric group of k letters, Proc. London Math. Soc. vol. 31 (1899) pp. 351-353. 32. Leonard Eugene Dickson, The structure of the linear homogeneous groups defined by the invariant $łambda^ 1\zeta _ 1^ r+łambda^ 2\zeta _ 2^ r+\cdots +łambda^ m\zeta _ m^ r$, Math. Ann. vol. 52 (1899) pp. 561-581.
- Leonard Eugene Dickson, Definition of the abelian, the two hypoabelian, and related linear groups as quotient-groups of the groups of isomorphisms of certain elementary groups, Trans. Amer. Math. Soc. 1 (1900), no. 1, 30–38. MR 1500521, DOI 10.1090/S0002-9947-1900-1500521-5
- L. E. Dickson, Certain Subgroups of the Betti-Mathieu Group, Amer. J. Math. 22 (1900), no. 1, 49–54. MR 1507867, DOI 10.2307/2369769
- Leonard Eugene Dickson, A new definition of the general abelian linear group, Trans. Amer. Math. Soc. 1 (1900), no. 1, 91–96. MR 1500527, DOI 10.1090/S0002-9947-1900-1500527-6
- Leonard Eugene Dickson, Canonical Form of a Linear Homogeneous Substitution in a Galois Field, Amer. J. Math. 22 (1900), no. 2, 121–137. MR 1507868, DOI 10.2307/2369750 37. Leonard Eugene Dickson, Proof of the existence of the Galois field of order p, Bull. Amer. Math. Soc. vol. 6 (1900) pp. 203-204.
- Leonard Eugene Dickson, Concerning the Cyclic Subgroups of the Simple Group G of All Linear Fractional Substitutions of Determinant Unity in Two Non-Homogeneous Variables with Coefficients in an Arbitrary Galois Field, Amer. J. Math. 22 (1900), no. 3, 231–252. MR 1505834, DOI 10.2307/2369854 39. Leonard Eugene Dickson, Isomorphism between certain systems of simple linear groups, Bull. Amer. Math Soc. vol. 6 (1900) pp. 323-328. 40. Leonard Eugene Dickson, An abstract simple group of order 25920, Proc. London Math. Soc. vol. 32 (1900) pp. 3-10
- Leonard Eugene Dickson, Determination of an abstract simple group of order $2^7\cdot 3^6\cdot 5\cdot 7$ holoedrically isomorphic with a certain orthogonal group and with a certain hyperabelian group, Trans. Amer. Math. Soc. 1 (1900), no. 3, 353–370. MR 1500543, DOI 10.1090/S0002-9947-1900-1500543-4 42. Leonard Eugene Dickson, Proof of the non-isomorphism of the simple Abelian group on 2m indices and the orthogonal group on 2m+1 indices for m>2, Quarterly Journal of Pure and Applied Mathematics vol. 32 (1900) pp. 42-63. 43. Leonard Eugene Dickson, Linear substitutions commutative with a given substitution, Proc. London Math. Soc. vol. 32 (1900) pp. 165-170.
- Leonard Eugene Dickson, Linear groups: With an exposition of the Galois field theory, Dover Publications, Inc., New York, 1958. With an introduction by W. Magnus. MR 0104735
- L. E. Dickson, Distribution of the Ternary Linear Homogeneous Substitutions in a Galois Field into Complete Sets of Conjugate Substitutions, Amer. J. Math. 23 (1901), no. 1, 37–40. MR 1505848, DOI 10.2307/2369695
- Leonard Eugene Dickson, Canonical forms of quaternary abelian substitutions in an arbitrary Galois field, Trans. Amer. Math. Soc. 2 (1901), no. 2, 103–138. MR 1500559, DOI 10.1090/S0002-9947-1901-1500559-9 47. Leonard Eugene Dickson, Concerning real and complex continuous groups, Bull. Amer. Math. Soc. vol. 7 (1901) pp. 340-350. 48. Leonard Eugene Dickson, The configurations of the 27 lines on a cubic surface and the 28 bitangents to a quartic curve, Bull. Amer. Math. Soc. vol. 8 (1901) pp. 63-70. 49. Leonard Eugene Dickson, Concerning the Abelian and related linear groups, Proc. London Math. Soc. vol. 33 (1901) pp. 313-325.
- Leonard Eugene Dickson, The alternating group on eight letters and the quaternary linear congruence group modulo two, Math. Ann. 54 (1901), no. 4, 564–569. MR 1511128, DOI 10.1007/BF01450721 51. Leonard Eugene Dickson, Théorie des groupes linéaires dans un domaine arbitraire de rationalité, C. R. Acad. Sci. Paris, vol. 132 (1901) pp. 1547-1548.
- Leonard Eugene Dickson, Theory of linear groups in an arbitrary field, Trans. Amer. Math. Soc. 2 (1901), no. 4, 363–394. MR 1500573, DOI 10.1090/S0002-9947-1901-1500573-3
- Leonard Eugene Dickson, Representation of Linear Groups as Transitive Substitution Groups, Amer. J. Math. 23 (1901), no. 4, 337–377. MR 1505871, DOI 10.2307/2370134 54. Leonard Eugene Dickson, A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface, Quarterly Journal of Pure and Applied Mathematics vol. 33(1901) pp. 145-173.
- L. E. Dickson, On Systems of Isothermal Curves, Amer. Math. Monthly 8 (1901), no. 10, 187–192. MR 1515374, DOI 10.2307/2971319 56. Leonard Eugene Dickson, The known systems of simple groups and their inter-isomorphisms, Compte Rendu du Deuxième Congrès International des Mathématiciens, Paris, 1900, Paris, Gauthier-Villars, 1902, pp. 225-229.
- L. E. Dickson, Cyclic Subgroups of the Simple Ternary Linear Fractional Group in a Galois Field, Amer. J. Math. 24 (1902), no. 1, 1–12. MR 1505877, DOI 10.2307/2370004
- Leonard Eugene Dickson, The groups of Steiner in problems of contact, Trans. Amer. Math. Soc. 3 (1902), no. 1, 38–45. MR 1500585, DOI 10.1090/S0002-9947-1902-1500585-0
- Leonard Eugene Dickson, The groups of Steiner in problems of contact. II, Trans. Amer. Math. Soc. 3 (1902), no. 3, 377–382. MR 1500607, DOI 10.1090/S0002-9947-1902-1500607-7
- Leonard Eugene Dickson, Canonical Form of a Linear Homogeneous Transformation in an Arbitrary Realm of Rationality, Amer. J. Math. 24 (1902), no. 2, 101–108. MR 1507871, DOI 10.2307/2369965 61. Leonard Eugene Dickson, Linear groups in an infinite field, Proc. London Math. Soc. vol. 34 (1902) pp. 185-205. 62. Leonard Eugene Dickson, Theorems on the residues of multinomial coefficients with respect to a prime modulus, Quarterly Journal of Pure and Applied Mathematics vol. 33 (1902) pp. 378-384. 63. Leonard Eugene Dickson, A class of simply transitive linear groups, Bull. Amer. Math. Soc. vol. 8 (1902) pp. 394-401.
- Leonard Eugene Dickson, The hyperorthogonal groups, Math. Ann. 55 (1902), no. 4, 521–572. MR 1511162, DOI 10.1007/BF01450352
- Leonard Eugene Dickson, An elementary exposition of Frobenius’s theory of group-characters and group-determinants, Ann. of Math. (2) 4 (1902), no. 1, 25–49. MR 1502293, DOI 10.2307/1967149
- Leonard Eugene Dickson, On the group defined for any given field by the multiplication table of any given finite group, Trans. Amer. Math. Soc. 3 (1902), no. 3, 285–301. MR 1500600, DOI 10.1090/S0002-9947-1902-1500600-4
- L. E. Dickson, A Matrix Defined by the Quaternion Group, Amer. Math. Monthly 9 (1902), no. 11, 243–248. MR 1515712, DOI 10.2307/2971280 68. Leonard Eugene Dickson, COLLEGE ALGEBRA, New York, Wiley, 1902, 7+214 pp. 69. Leonard Eugene Dickson, Ternary orthogonal group in a general field, University of Chicago Press, 1903, 8 pp. 70. Leonard Eugene Dickson, Groups defined for a general field by the rotation groups, University of Chicago Press, 1903, 17 pp. 71. Leonard Eugene Dickson, INTRODUCTION TO THE THEORY OF ALGEBRAIC EQUATIONS, New York, Wiley, 1903, 5+104 pp.
- Leonard Eugene Dickson, Definitions of a field by independent postulates, Trans. Amer. Math. Soc. 4 (1903), no. 1, 13–20. MR 1500619, DOI 10.1090/S0002-9947-1903-1500619-4
- Leonard Eugene Dickson, Definitions of a linear associative algebra by independent postulates, Trans. Amer. Math. Soc. 4 (1903), no. 1, 21–26. MR 1500620, DOI 10.1090/S0002-9947-1903-1500620-0 74. Leonard Eugene Dickson, On the groups defined for an arbitrary field by the multiplication tables of certain finite groups, Proc. London Math. Soc. vol. 35 (1903) pp. 68-80. 75. Leonard Eugene Dickson, Three sets of generational relations defining the abstract simple group of order504, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 194-204. 76. Leonard Eugene Dickson, Generational relations defining the abstract simple group of order 660, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 204-206. 77. Leonard Eugene Dickson, The abstract group G simply isomorphic with the alternating group on six letters, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 303-306. 78. Leonard Eugene Dickson, Fields whose elements are linear differential expressions, Bull. Amer. Math. Soc. vol. 10 (1903) pp. 30-31.
- Leonard Eugene Dickson, On the subgroups of order a power of $p$ in the quaternary abelian group in the Galois field of order $p^n$, Trans. Amer. Math. Soc. 4 (1903), no. 4, 371–386. MR 1500648, DOI 10.1090/S0002-9947-1903-1500648-0
- Leonard Eugene Dickson, On the reducibility of linear groups, Trans. Amer. Math. Soc. 4 (1903), no. 4, 434–436. MR 1500653, DOI 10.1090/S0002-9947-1903-1500653-4 81. Leonard Eugene Dickson, The abstract group simply isomorphic with the group of linear fractional transformations in a Galois field, Proc. London Math. Soc. vol. 35 (1903) pp. 292-305. 82. Leonard Eugene Dickson, Generational relations of an abstract simple group of order 4080, Proc. London Math. Soc. vol. 35 (1903) pp. 306-319. 83. Leonard Eugene Dickson, Generational relations for the abstract group simply isomorphic with the linear fractional group in the GF[2], Proc. London Math. Soc. vol. 35 (1903) pp. 443-454. 84. Leonard Eugene Dickson, 1. Ternary orthogonal groups in a general field. 2. The groups defined for a general field by the rotation group, University of Chicago Press, 1904, 26 pp.
- Leonard Eugene Dickson, The subgroups of order a power of $2$ of the simple quinary orthogonal group in the Galois field of order $p^n=8l\pm 3$, Trans. Amer. Math. Soc. 5 (1904), no. 1, 1–38. MR 1500658, DOI 10.1090/S0002-9947-1904-1500658-4
- Leonard Eugene Dickson, Determination of all groups of binary linear substitutions with integral coefficients taken modulo 3 and of determinant unity, Ann. of Math. (2) 5 (1904), no. 3, 140–144. MR 1503536, DOI 10.2307/2007231
- Leonard Eugene Dickson, Determination of all the subgroups of the known simple group of order $25920$, Trans. Amer. Math. Soc. 5 (1904), no. 2, 126–166. MR 1500666, DOI 10.1090/S0002-9947-1904-1500666-3 88. Leonard Eugene Dickson, Two systems of subgroups of the quaternary Abelian group in a general Galois field, Bull. Amer. Math. Soc. vol. 10 (1904) pp. 178-184. 89. Leonard Eugene Dickson, A new extension of Dirichlet’s theorem on prime numbers, Messenger of Mathematics, vol. 33 (1904) pp. 155-161. 90. Leonard Eugene Dickson, Addition to the paper on the four known simple linear groups of order 25920, Proc. London Math. Soc. vol. 1 (1904) pp. 283-284. 91. Leonard Eugene Dickson, On the subgroups of order a power of p in the linear homogeneous and fractional groups in the GF[p], Bull. Amer. Math. Soc. vol. 10 (1904) pp. 385-397.
- Leonard Eugene Dickson, Memoir on Abelian Transformations, Amer. J. Math. 26 (1904), no. 3, 243–318. MR 1507875, DOI 10.2307/2369926
- L. E. Dickson, Application of groups to a complex problem in arrangements, Ann. of Math. (2) 6 (1904), no. 1, 31–44. MR 1503507, DOI 10.2307/2007156 94. Leonard Eugene Dickson, On the minimum degree of resolvants for the p-section of the periods of hyperelliptic functions of four periods, Jber. Deutschen Math. Verein. vol. 13 (1904) pp. 559-560.
- L. E. Dickson, A Property of the Group $G_2^{2n}$ All of Whose Operators Except Identity are of Period 2, Amer. Math. Monthly 11 (1904), no. 11, 203–206. MR 1516217, DOI 10.2307/2969885 96. Leonard Eugene Dickson, The groups of a tactical configuration, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 177-179.
- Leonard Eugene Dickson, The minimum degree $\tau$ of resolvents for the $p$-section of the periods of hyperelliptic functions of four periods, Trans. Amer. Math. Soc. 6 (1905), no. 1, 48–57. MR 1500693, DOI 10.1090/S0002-9947-1905-1500693-7 98. Leonard Eugene Dickson, On the cyclotomic functions, Amer. Math. Monthly vol. 12 (1905) pp. 86-89.
- L. E. Dickson, On the real elements of certain classes of geometrical configurations, Ann. of Math. (2) 6 (1905), no. 4, 141–150. MR 1503554, DOI 10.2307/2007244
- Leonard Eugene Dickson, A new system of simple groups, Math. Ann. 60 (1905), no. 1, 137–150. MR 1511290, DOI 10.1007/BF01447497
- Leonard Eugene Dickson, Determination of the Ternary Modular Groups, Amer. J. Math. 27 (1905), no. 2, 189–202. MR 1505964, DOI 10.2307/2369979
- Leonard Eugene Dickson, Definitions of a group and a field by independent postulates, Trans. Amer. Math. Soc. 6 (1905), no. 2, 198–204. MR 1500706, DOI 10.1090/S0002-9947-1905-1500706-2
- Leonard Eugene Dickson, On semi-groups and the general isomorphism between infinite groups, Trans. Amer. Math. Soc. 6 (1905), no. 2, 205–208. MR 1500707, DOI 10.1090/S0002-9947-1905-1500707-4 104. Leonard Eugene Dickson, Determination of all the subgroups of the three highest powers of p in the group G of all m-ary linear homogeneous transformations modulo p, Quarterly Journal of Pure and Applied Mathematics vol. 36 (1905) pp. 373-384. 105. Leonard Eugene Dickson, On finite algebras, Nachr. Ges. Wiss. Göttingen (1905) pp. 358-393. 106. Leonard Eugene Dickson, On the class of the substitutions of various linear groups, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 426-432.
- Leonard Eugene Dickson, Subgroups of Order a Power of $p$ in the General and Special $m$-ary Linear Homogeneous Groups in the $GF$[$p^n$], Amer. J. Math. 27 (1905), no. 3, 280–302. MR 1507878, DOI 10.2307/2370149 108. Leonard Eugene Dickson, A general theorem on algebraic numbers, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 482-486. 109. Leonard Eugene Dickson, On hypercomplex number systems, Trans. Amer. Math. Soc. vol. 6 (1905) pp. 344-348. 110. Leonard Eugene Dickson, Expressions for the elements of a determinant of an array, Amer. Math. Monthly vol. 12 (1905) pp. 217-221.
- Leonard Eugene Dickson, On the Quaternary Linear Homogeneous Groups Modulo $p$ of Order a Multiple of $p$, Amer. J. Math. 28 (1906), no. 1, 1–16. MR 1505980, DOI 10.2307/2370053
- Leonard Eugene Dickson, On quadratic, Hermitian and bilinear forms, Trans. Amer. Math. Soc. 7 (1906), no. 2, 275–292. MR 1500749, DOI 10.1090/S0002-9947-1906-1500749-X 113. Leonard Eugene Dickson, Criteria for the irreducibility of functions in a finite field, Bull. Amer. Math. Soc. vol. 13 (1906) pp. 1-8. 114. Leonard Eugene Dickson, On the theory of equations in a Galois field, Bull. Amer. Math. Soc. vol. 13 (1906) pp. 8-10.
- Leonard Eugene Dickson, Linear algebras in which division is always uniquely possible, Trans. Amer. Math. Soc. 7 (1906), no. 3, 370–390. MR 1500755, DOI 10.1090/S0002-9947-1906-1500755-5 116. Leonard Eugene Dickson, On linear algebras, Amer. Math. Monthly vol. 13 (1906) pp. 201-205.
- L. E. Dickson, On commutative linear algebras in which division is always uniquely possible, Trans. Amer. Math. Soc. 7 (1906), no. 4, 514–522. MR 1500764, DOI 10.1090/S0002-9947-1906-1500764-6 118. Leonard Eugene Dickson, The abstract form of the special linear homogeneous group in an arbitrary field, Quarterly Journal of Pure and Applied Mathematics vol. 38 (1907) pp. 141-145. 119. Leonard Eugene Dickson, The abstract form of the Abelian linear groups, Quarterly Journal of Pure and Applied Mathematics vol. 38 (1907) pp. 145-158. 120. Leonard Eugene Dickson, The symmetric group on eight letters and the senary first hypoabelian group, Bull. Amer. Math. Soc. vol. 13 (1907) pp. 386-389. 121. Leonard Eugene Dickson, Modular theory of group characters, Bull. Amer. Math. Soc. vol. 13 (1907) pp. 477-488.
- Leonard Eugene Dickson, Invariants of binary forms under modular transformations, Trans. Amer. Math. Soc. 8 (1907), no. 2, 205–232. MR 1500782, DOI 10.1090/S0002-9947-1907-1500782-9 123. Leonard Eugene Dickson, Invariants of the general quadratic form modulo 2, Proc. London Math. Soc. vol. 5 (1907) pp. 301-324.
- Leonard Eugene Dickson, Modular theory of group-matrices, Trans. Amer. Math. Soc. 8 (1907), no. 3, 389–398. MR 1500793, DOI 10.1090/S0002-9947-1907-1500793-3 125. Leonard Eugene Dickson, On quadratic forms in a general field, Bull. Amer. Math. Soc. vol. 14 (1907) pp. 108-115. 126. Leonard Eugene Dickson, On triple algebras and ternary cubic forms, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 160-169. 127. Leonard Eugene Dickson, The Galois group of a reciprocal quartic equation, Amer. Math. Monthly vol. 15 (1908) pp. 71-78. 128. Leonard Eugene Dickson, A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface. Second paper, Quarterly Journal of Pure and Applied Mathematics vol. 39 (1908) pp. 205-209.
- L. E. Dickson, On the Canonical Forms and Automorphs of Ternary Cubic Forms, Amer. J. Math. 30 (1908), no. 2, 117–128. MR 1506034, DOI 10.2307/2370157
- Leonard Eugene Dickson, Representations of the general symmetric group as linear groups in finite and infinite fields, Trans. Amer. Math. Soc. 9 (1908), no. 2, 121–148. MR 1500805, DOI 10.1090/S0002-9947-1908-1500805-8 131. Leonard Eugene Dickson, On families of quadratic forms in a general field, Quarterly Journal of Pure and Applied Mathematics vol. 39 (1908) pp. 316-333. 132. Leonard Eugene Dickson, On higher congruences and modular invariants, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 313-318.
- L. E. Dickson, On the Factorization of Large Numbers, Amer. Math. Monthly 15 (1908), no. 12, 217–222. MR 1517123, DOI 10.2307/2969817 134. Leonard Eugene Dickson, Criteria for the irreducibility of a reciprocal equation, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 426-430.
- Leonard Eugene Dickson, Invariantive Reduction of Quadratic Forms in the $GF[2^n]$, Amer. J. Math. 30 (1908), no. 3, 263–281. MR 1506042, DOI 10.2307/2369949 136. Leonard Eugene Dickson, On the last theorem of Fermat, Messenger of Mathematics vol. 38 (1908) pp. 14-32. 137. Leonard Eugene Dickson, On the last theorem of Fermat, II, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1908) pp. 27-45. 138. Leonard Eugene Dickson, On the congruence x+y+z≡0 (mod p), J. Reine Angew. Math. vol. 135 (1908) pp. 134-141.
- Leonard Eugene Dickson, Definite forms in a finite field, Trans. Amer. Math. Soc. 10 (1909), no. 1, 109–122. MR 1500830, DOI 10.1090/S0002-9947-1909-1500830-8
- Leonard Eugene Dickson, Rational Reduction of a Pair of Binary Quadratic Forms; Their Modular Invariants, Amer. J. Math. 31 (1909), no. 2, 103–146. MR 1506065, DOI 10.2307/2370100
- Leonard Eugene Dickson, General theory of modular invariants, Trans. Amer. Math. Soc. 10 (1909), no. 2, 123–158. MR 1500831, DOI 10.1090/S0002-9947-1909-1500831-X 142. Leonard Eugene Dickson, On the representation of numbers by modular forms, Bull. Amer. Math. Soc. vol. 15 (1909) pp. 338-347. 143. Leonard Eugene Dickson, (with M. Kaba), On the representation of numbers as the sum of two squares, Amer. Math. Monthly vol. 16 (1909) pp. 85-87. 144. Leonard Eugene Dickson, Lower limit for the number of sets of solutions of x+y+z≡0 (mod. p), J. Reine Angew. Math. vol. 135 (1909) pp. 181-188. 145. Leonard Eugene Dickson, On commutative linear groups, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1909) pp. 167-196.
- Leonard Eugene Dickson, A Theory of Invariants, Amer. J. Math. 31 (1909), no. 4, 337–354. MR 1506079, DOI 10.2307/2369881
- Leonard Eugene Dickson, Equivalence of pairs of bilinear or quadratic forms under rational transformation, Trans. Amer. Math. Soc. 10 (1909), no. 3, 347–360. MR 1500845, DOI 10.1090/S0002-9947-1909-1500845-X 148. Leonard Eugene Dickson, Combinants, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1909) pp. 349-365. 149. Leonard Eugene Dickson, On certain diophantine equations, Messenger of Mathematics vol. 39 (1909) pp. 86-87. 150. Leonard Eugene Dickson, Modular invariants of a general system of linear forms, Proc. London Math. Soc. vol. 7 (1909) pp. 430-444. 151. Leonard Eugene Dickson, On the factorization of integral functions with p-adic coefficients, Bull. Amer. Math. Soc. vol. 17 (1910) pp. 19-23.
- Leonard Eugene Dickson, An invariantive investigation of irreducible binary modular forms, Trans. Amer. Math. Soc. 12 (1911), no. 1, 1–18. MR 1500877, DOI 10.1090/S0002-9947-1911-1500877-0
- Leonard Eugene Dickson, A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Amer. Math. Soc. 12 (1911), no. 1, 75–98. MR 1500882, DOI 10.1090/S0002-9947-1911-1500882-4 154. Leonard Eugene Dickson, Note on modular invariants, Quarterly Journal of Pure and Applied Mathematics vol. 42 (1911) pp. 158-161. 155. Leonard Eugene Dickson, On non-vanishing forms, Quarterly Journal of Pure and Applied Mathematics vol. 42 (1911) pp. 162-171.
- Leonard Eugene Dickson, Binary Modular Groups and their Invariants, Amer. J. Math. 33 (1911), no. 1-4, 175–192. MR 1507890, DOI 10.2307/2369991 157. Leonard Eugene Dickson, Notes on the theory of numbers, Amer. Math. Monthly vol. 18 (1911) pp. 109-110. 158. Leonard Eugene Dickson, On the negative discriminants for which there is a single class of positive binary quadratic forms, Bull. Amer. Math. Soc. vol. 17 (1911) pp. 534-547.
- L. E. Dickson, Note on cubic equations and congruences, Ann. of Math. (2) 12 (1911), no. 3, 149–152. MR 1503562, DOI 10.2307/2007243
- Leonard Eugene Dickson, Linear algebras, Trans. Amer. Math. Soc. 13 (1912), no. 1, 59–73. MR 1500905, DOI 10.1090/S0002-9947-1912-1500905-3
- L. E. Dickson, Amicable Number Triples, Amer. Math. Monthly 20 (1913), no. 3, 84–92. MR 1517797, DOI 10.2307/2973442
- L. E. Dickson, On the rank of a symmetrical matrix, Ann. of Math. (2) 15 (1913/14), no. 1-4, 27–28. MR 1502456, DOI 10.2307/1967795 163. Leonard Eugene Dickson, Theorems and tables on the sum of the divisors of a number, Quarterly Journal of Pure and Applied Mathematics vol. 44 (1913) pp. 264-296.
- Leonard Eugene Dickson, Proof of the finiteness of modular covariants, Trans. Amer. Math. Soc. 14 (1913), no. 3, 299–310. MR 1500948, DOI 10.1090/S0002-9947-1913-1500948-0 165. Leonard Eugene Dickson, On binary modular groups and their invariants, Bull. Amer. Math. Soc. vol. 20 (1913) pp. 132-134.
- Leonard Eugene Dickson, Finiteness of the Odd Perfect and Primitive Abundant Numbers with $n$ Distinct Prime Factors, Amer. J. Math. 35 (1913), no. 4, 413–422. MR 1506194, DOI 10.2307/2370405
- L. E. Dickson, Even Abundant Numbers, Amer. J. Math. 35 (1913), no. 4, 423–426. MR 1506195, DOI 10.2307/2370406 168. Leonard Eugene Dickson, The invariants, seminvariants and linear covariants of the binary quartic form modulo 2, Ann. of Math. vol. 15 (1914) pp. 114-117. 169. Leonard Eugene Dickson, Linear associative algebras and Abelian equations, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 31-46.
- Leonard Eugene Dickson, On invariants and the theory of numbers, Dover Publications, Inc., New York, 1966. MR 0201389 171. Leonard Eugene Dickson, ELEMENTARY THEORY OF EQUATIONS, New York, Wiley, 1914, 5+184 pp. 172. Leonard Eugene Dickson, ALGEBRAIC INVARIANTS, New York, Wiley, 1914, 10+100 pp. [Mathematical monographs, edited by M. Merriman and R. S. Woodward, No. 14.] 173. Leonard Eugene Dickson, LINEAR ALGEBRAS, Cambridge University Press, 1914, 8+73 pp. [Cambridge Tracts in Math, and Math. Physics, No. 16.]
- L. E. Dickson, The points of inflexion of a plane cubic curve, Ann. of Math. (2) 16 (1914/15), no. 1-4, 50–66. MR 1502488, DOI 10.2307/1968042 175. Leonard Eugene Dickson, Invariants in the theory of numbers, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 497-503.
- L. E. Dickson, On the Trisection of an Angle and the Construction of Regular Polygons of 7 and 9 Sides, Amer. Math. Monthly 21 (1914), no. 8, 259–262. MR 1518094, DOI 10.2307/2974246 177. Leonard Eugene Dickson, Modular invariants of the system of a binary cubic, quadratic and linear form, Quarterly Journal of Pure and Applied Mathematics vol. 45 (1914) pp. 373-384. 178. Leonard Eugene Dickson, Recent progress in the theories of modular and formal invariants and in modular geometry, Proc. Nat. Acad. Sci. U.S.A. vol. 1 (1915) pp. 1-4.
- L. E. Dickson, Projective classification of cubic surfaces modulo 2, Ann. of Math. (2) 16 (1914/15), no. 1-4, 139–157. MR 1502501, DOI 10.2307/1968056 180. Leonard Eugene Dickson, Invariants, seminvariants, and covariants of the ternary and quaternary quadratic form modulo 2, Bull. Amer. Math. Soc. vol. 21 (1915) pp. 174-179.
- L. E. Dickson, Invariantive Theory of Plane Cubic Curves Modulo 2, Amer. J. Math. 37 (1915), no. 2, 107–116. MR 1506248, DOI 10.2307/2370419
- L. E. Dickson, Quartic curves modulo $2$, Trans. Amer. Math. Soc. 16 (1915), no. 2, 111–120. MR 1501003, DOI 10.1090/S0002-9947-1915-1501003-8 183. Leonard Eugene Dickson, Classification of quartic curves, modulo 2, Messenger of Mathematics vol. 44 (1915) pp. 189-192. 184. Leonard Eugene Dickson, The straight lines on modular cubic surfaces, Proc. Nat. Acad. Sci. U.S.A. vol. 1 (1915) pp. 248-253.
- L. E. Dickson, Geometrical and Invariantive Theory of Quartic Curves Modulo 2, Amer. J. Math. 37 (1915), no. 4, 337–354. MR 1507897, DOI 10.2307/2370210
- L. E. Dickson, Invariantive Classification of Pairs of Conics Modulo 2, Amer. J. Math. 37 (1915), no. 4, 355–358. MR 1506263, DOI 10.2307/2370211 187. Leonard Eugene Dickson, On the relation between linear algebras and continuous groups, Bull. Amer. Math. Soc. vol. 22 (1915) pp. 53-61. 188. Leonard Eugene Dickson, (with G. A. Miller and H. F. Blichfeldt), THEORY AND APPLICATIONS OF FINITE GROUPS, New York, Wiley, 1916, 17+390 pp. 189. Leonard Eugene Dickson, An extension of the theory of numbers by means of correspondences between fields, Bull. Amer. Math. Soc. vol. 23 (1916) pp. 109-111. 190. Leonard Eugene Dickson, Fermat’s last theorem and the origin and nature of the theory of algebraic numbers, Ann. of Math. (2) vol. 18 (1917) pp. 161-187.
- L. E. Dickson, On quaternions and their generalization and the history of the eight square theorem, Ann. of Math. (2) 20 (1919), no. 3, 155–171. MR 1502549, DOI 10.2307/1967865 192. Leonard Eugene Dickson, Mathematics in war perspective, Bull. Amer. Math. Soc. vol. 25 (1919) pp. 289-311. 193. Leonard Eugene Dickson, Applications of the geometry of numbers to algebraic numbers, Bull. Amer. Math. Soc. vol. 25 (1919) pp. 453-455.
- Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality. , Chelsea Publishing Co., New York, 1966. MR 0245499
- Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality. , Chelsea Publishing Co., New York, 1966. MR 0245499 196. Leonard Eugene Dickson, Les polynomes égaux à des determinants, C. R. Acad. Sci. Paris vol. 171 (1920) pp. 1360-1362. 197. Leonard Eugene Dickson, Some relations between the theory of numbers and other branches of mathematics, Conférence générale, Comptes Rendus du Congrés International des Mathématiciens, Strasbourg, 1920, Toulouse, H. Villat, 1921, pp. 41-56. 198. Leonard Eugene Dickson, Homogeneous polynomials with a multiplication theorem, Comptes Rendus du Congrés International des Mathématiciens, Strasbourg, 1920, Toulouse, H. Villat, 1921, pp. 215-230.
- L. E. Dickson, Algebraic Theory of the Expressibility of Cubic Forms as Determinants, with Application to Diophantine Analysis, Amer. J. Math. 43 (1921), no. 2, 102–125. MR 1506433, DOI 10.2307/2370244 200. Leonard Eugene Dickson, Quaternions and their generalizations, Proc. Nat. Acad. Sci. U.S.A. vol. 7 (1921) pp. 109-114. 201. Leonard Eugene Dickson, Fallacies and misconceptions in diophantine analysis, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 312-319.
- Leonard Eugene Dickson, Determination of all general homogeneous polynomials expressible as determinants with linear elements, Trans. Amer. Math. Soc. 22 (1921), no. 2, 167–179. MR 1501168, DOI 10.1090/S0002-9947-1921-1501168-0 203. Leonard Eugene Dickson, A new method in diophantine analysis, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 353-365. 204. Leonard Eugene Dickson, Arithmetic of quaternions, Proc. London Math. Soc. vol. 20 (1921) pp. 225-232.
- L. E. Dickson, Rational Triangles and Quadrilaterals, Amer. Math. Monthly 28 (1921), no. 6-7, 244–250. MR 1519790, DOI 10.2307/2973328
- L. E. Dickson, Reducible cubic forms expressible rationally as determinants, Ann. of Math. (2) 23 (1921), no. 1, 70–74. MR 1502596, DOI 10.2307/1967785
- L. E. Dickson, A fundamental system of covariants of the ternary cubic form, Ann. of Math. (2) 23 (1921), no. 1, 78–82. MR 1502598, DOI 10.2307/1967787 208. Leonard Eugene Dickson, La composition des polynomes, C. R. Acad. Sci. Paris vol. 172 (1921) pp. 636-640. 209. Leonard Eugene Dickson, PLANE TRIGONOMETRY WITH PRACTICAL APPLICATIONS, Chicago, Sanborn, 1922, 12+176+35 pp. 210. Leonard Eugene Dickson, A FIRST COURSE IN THE THEORY OF EQUATIONS, New York, Wiley, 1922, 6+168 pp. 211. Leonard Eugene Dickson, Impossibility of restoring unique factorization in a hypercomplex arithmetic, Bull. Amer. Math. Soc. vol. 28 (1922) pp. 438-442. 212. Leonard Eugene Dickson, The rational linear algebras of maximum and minimum ranks, Proc. London Math. Soc. (2) vol. 22 (1923) pp. 143-162.
- Leonard Eugene Dickson, Algebras and their arithmetics, Dover Publications, Inc., New York, 1960. MR 0111764
- Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality. , Chelsea Publishing Co., New York, 1966. MR 0245499 215. Leonard Eugene Dickson, A new simple theory of hypercomplex integers, J. Math. Pures Appl. (9) vol. 2 (1923) pp. 281-326. 216. Leonard Eugene Dickson, Integral solutions of x, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 464-467. 217. Leonard Eugene Dickson, On the theory of numbers and generalized quaternions, Amer. J. Math. vol. 46 (1924) pp. 1-16. 218. Leonard Eugene Dickson, Algebras and their arithmetics, Bull. Amer. Math. Soc. vol. 30 (1924) pp. 247-257.
- L. E. Dickson, Differential equations from the group standpoint, Ann. of Math. (2) 25 (1924), no. 4, 287–378. MR 1502670, DOI 10.2307/1967773 220. Leonard Eugene Dickson, Quadratic fields in which factorization is always unique, Bull. Amer. Math. Soc. vol. 30 (1924) pp. 328-334. 221. Leonard Eugene Dickson, Algébres nouvelles de division, C. R. Acad. Sci. Paris vol. 181 (1925) pp. 836-838. 222. Leonard Eugene Dickson, Resolvent sextics of quintic equations, Bull. Amer. Math. Soc. vol. 31 (1925) pp. 515-523. 223. Leonard Eugene Dickson, New division algebras, Trans. Amer. Math. Soc. vol. 28 (1926) pp. 207-234. 224. Leonard Eugene Dickson, MODERN ALGEBRAIC THEORIES, Chicago, New York, Boston; Sanborn, 1926, 9+276 pp. 225. Leonard Eugene Dickson, All integral solutions of ax+bxy+cy=w1w2 • • • wn, Bull. Amer. Math. Soc. vol. 32 (1926) pp. 644-648. 226. Leonard Eugene Dickson, Quadratic forms which represent all integers, Proc. Nat. Acad. Sci. U.S.A. vol. 12 (1926) pp. 756-757.
- L. E. Dickson, Quaternary Quadratic Forms Representing all Integers, Amer. J. Math. 49 (1927), no. 1, 39–56. MR 1506600, DOI 10.2307/2370770 228. Leonard Eugene Dickson, Integers represented by positive ternary quadratic forms, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 63-70.
- L. E. Dickson, Extensions of Waring’s Theorem on Nine Cubes, Amer. Math. Monthly 34 (1927), no. 4, 177–183. MR 1521139, DOI 10.2307/2299861 230. Leonard Eugene Dickson, A generalization of Waring’s theorem on nine cubes, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 299-300. 231. Leonard Eugene Dickson, ALGEBREN UND IHRE ZAHLENTHEORIE, Zurich, Orell Füssli, 1927, 8+308 pp. (translation of completely revised and extended manuscript). 232. Leonard Eugene Dickson, Extensions of Waring’s theorem on fourth powers, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 319-327.
- L. E. Dickson, Singular case of pairs of bilinear, quadratic, or Hermitian forms, Trans. Amer. Math. Soc. 29 (1927), no. 2, 239–253. MR 1501387, DOI 10.1090/S0002-9947-1927-1501387-9 234. Leonard Eugene Dickson, Generalization of Waring’s theorem on fourth, sixth, and eighth powers, Amer. J. Math. vol. 49 (1927) pp. 241-250. 235. Leonard Eugene Dickson, Ternary quadratic forms and congruences, Ann. of Math. (2) vol. 28 (1927) pp. 333-341. 236. Leonard Eugene Dickson, All positive integers are sums of values of a quadratic function of x, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 713-720. 237. Leonard Eugene Dickson, Outline of the theory to date of the arithmetics of algebras, Proceedings of the International Mathematical Congress held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 95-102. 238. Leonard Eugene Dickson, Further development of the theory of arithmetics of algebras, Proceedings of the International Mathematical Congress held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 173-184. 239. Leonard Eugene Dickson, A new theory of linear transformations and pairs of bilinear forms, Proceedings of the International Mathematical Congress, held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 361-363.
- L. E. Dickson, Simpler proofs of Waring’s theorem on cubes, with various generalizations, Trans. Amer. Math. Soc. 30 (1928), no. 1, 1–18. MR 1501417, DOI 10.1090/S0002-9947-1928-1501417-5
- L. E. Dickson, Additive Number Theory for all Quadratic Functions, Amer. J. Math. 50 (1928), no. 1, 1–48. MR 1506653, DOI 10.2307/2370847 242. Leonard Eugene Dickson, Generalizations of the theorem of Fermat and Cauchy on polygonal numbers, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 63-72. 243. Leonard Eugene Dickson, Extended polygonal numbers, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 205-217. 244. Leonard Eugene Dickson, Quadratic functions or forms, sums of whose values give all positive integers, J. Math. Pures Appl. vol. 7 (1928) pp. 319-336. 245. Leonard Eugene Dickson, New division algebras, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 555-560. 246. Leonard Eugene Dickson, Universal quadratic forms, Trans. Amer. Math. Soc. vol. 31 (1929) pp. 164-189. 247. Leonard Eugene Dickson, The forms ax2+by2+cz2 which represent all integers, Bull. Amer. Math. Soc. vol. 35 (1929) pp. 55-59. 248. Leonard Eugene Dickson, INTRODUCTION TO THE THEORY OF NUMBERS, Chicago, The University of Chicago Press, 1929, 8+183 pp.
- L. E. Dickson, Construction of division algebras, Trans. Amer. Math. Soc. 32 (1930), no. 2, 319–334. MR 1501540, DOI 10.1090/S0002-9947-1930-1501540-4 250. Leonard Eugene Dickson, STUDIES IN THE THEORY OF NUMBERS, Chicago, The University of Chicago Press (The University of Chicago Science Series), 1930, 10+230 pp. 251. Leonard Eugene Dickson, Proof of a Waring theorem on fifth powers, Bull. Amer. Math. Soc. vol. 37 (1931) pp. 549-553. 252. Leonard Eugene Dickson, MINIMUM DECOMPOSITIONS INTO FIFTH POWERS, Vol. III, Mathematical Tables, British Assoc. for the Advancement of Science (Committee for the Calculation of Mathematical Tables), London, Office of the British Assoc., 1933, 368 pp. 253. Leonard Eugene Dickson, Eliakim Hastings Moore, Science (2) vol. 77 (1933) pp. 79-80.
- L. E. Dickson, Minimum Decompositions Into $N$-TH Powers, Amer. J. Math. 55 (1933), no. 1-4, 593–602. MR 1506986, DOI 10.2307/2371152 255. Leonard Eugene Dickson, Recent progress on Waring’s theorem and its generalizations, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 701-727. 256. Leonard Eugene Dickson, Waring’s problem for cubic functions, Trans. Amer. Math. Soc. vol. 36 (1934) pp. 1-12. 257. Leonard Eugene Dickson, Waring’s problem for ninth powers, Bull. Amer. Math. Soc. vol. 40 (1934) pp. 487-493. 258. Leonard Eugene Dickson, Universal Waring theorem for eleventh powers, J. London Math. Soc. vol. 9 (1934) pp. 201-206.
- L. E. Dickson, Two-Fold Generalizations of Cauchy’s Lemma, Amer. J. Math. 56 (1934), no. 1-4, 513–528. MR 1507040, DOI 10.2307/2370952 260. Leonard Eugene Dickson, The converse of Waring’s problem, Bull. Amer. Math. Soc. vol. 40 (1934) pp. 711-714.
- L. E. Dickson, A New Method for Universal Waring Theorems with Details for Seventh Powers, Amer. Math. Monthly 41 (1934), no. 9, 547–555. MR 1523212, DOI 10.2307/2301430
- L. E. Dickson, A new method for Waring theorems with polynomial summands, Trans. Amer. Math. Soc. 36 (1934), no. 4, 731–748. MR 1501763, DOI 10.1090/S0002-9947-1934-1501763-8 263. Leonard Eugene Dickson, Polygonal numbers and related Waring problems, Quart. J. Math. Oxford Ser. vol. 5 (1934) pp. 283-290. 264. Leonard Eugene Dickson, Congruences involving only e-th powers, Acta Arithmetica vol. 1 (1935) pp. 161-167.
- L. E. Dickson, Cyclotomy and trinomial congruences, Trans. Amer. Math. Soc. 37 (1935), no. 3, 363–380. MR 1501791, DOI 10.1090/S0002-9947-1935-1501791-3
- L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem, Amer. J. Math. 57 (1935), no. 2, 391–424. MR 1507083, DOI 10.2307/2371217
- L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem II, Amer. J. Math. 57 (1935), no. 3, 463–474. MR 1507087, DOI 10.2307/2371178
- L. E. Dickson, Linear algebras with associativity not assumed, Duke Math. J. 1 (1935), no. 2, 113–125. MR 1545870, DOI 10.1215/S0012-7094-35-00112-0
- L. E. Dickson, Cyclotomy when $e$ is composite, Trans. Amer. Math. Soc. 38 (1935), no. 2, 187–200. MR 1501808, DOI 10.1090/S0002-9947-1935-1501808-6 270. Leonard Eugene Dickson, Universal Waring theorems with cubic summands, Acta Arithmetica vol. 1 (1935) pp. 184-196 and Prace Matematyczno-Fizyczne vol. 43 (1936) pp. 223-235.
- L. E. Dickson, Waring Theorems of New Type, Amer. J. Math. 58 (1936), no. 2, 241–248. MR 1507147, DOI 10.2307/2371033 272. Leonard Eugene Dickson, On Waring’s problem and its generalization, Ann. of Math. (2) vol. 37 (1936) pp. 293-316.
- L. E. Dickson, A new method for Waring theorems with polynomial summands. II, Trans. Amer. Math. Soc. 39 (1936), no. 2, 205–208. MR 1501842, DOI 10.1090/S0002-9947-1936-1501842-7
- L. E. Dickson, Universal Waring theorems, Monatsh. Math. Phys. 43 (1936), no. 1, 391–400. MR 1550541, DOI 10.1007/BF01707618
- L. E. Dickson, The ideal Waring theorem for twelfth powers, Duke Math. J. 2 (1936), no. 2, 192–204. MR 1545918, DOI 10.1215/S0012-7094-36-00218-1
- L. E. Dickson, Proof of the Ideal Waring Theorem for Exponents 7-180, Amer. J. Math. 58 (1936), no. 3, 521–529. MR 1507175, DOI 10.2307/2370969
- L. E. Dickson, Solution of Waring’s Problem, Amer. J. Math. 58 (1936), no. 3, 530–535. MR 1507176, DOI 10.2307/2370970 278. Leonard Eugene Dickson, A generalization of Waring’s problem, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 525-529. 279. Leonard Eugene Dickson, The Waring problem and its generalizations, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 833-842. 280. Leonard Eugene Dickson, New Waring theorems for polygonal numbers, Quart. J. Math. Oxford Ser. vol. 8 (1937) pp. 62-65. 281. Leonard Eugene Dickson, Universal forms $\sum a_ix_i^n$ and Waring’s problem, Acta Arithmetica vol. 2 (1937) pp. 177-196.
- Leonard Eugene Dickson, New First Course in the Theory of Equations, John Wiley & Sons, Inc., New York, 1939. MR 0000002
- L. E. Dickson, All integers except $23$ and $239$ are sums of eight cubes, Bull. Amer. Math. Soc. 45 (1939), 588–591. MR 28, DOI 10.1090/S0002-9904-1939-07041-9
- Leonard Eugene Dickson, Modern Elementary Theory of Numbers, University of Chicago Press, Chicago, 1939. MR 0000387
- L. E. Dickson, Obituary: Hans Frederik Blichfeldt. 1873–1945, Bull. Amer. Math. Soc. 53 (1947), 882–883. MR 21508, DOI 10.1090/S0002-9904-1947-08874-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 61 (1955), 331-345
- DOI: https://doi.org/10.1090/S0002-9904-1955-09937-3
- MathSciNet review: 0070564