Arthur Byron Coble
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- Bull. Amer. Math. Soc. 76 (1970), 693-699
References
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1. Arthur Byron Coble, On the reduction of the decimic to Sylvester’s canonical form, Johns Hopkins University Circulars No. 3 (1901), 54-55.
- A. B. Coble, The quartic curve as related to conics, Trans. Amer. Math. Soc. 4 (1903), no. 1, 65–85. MR 1500625, DOI 10.1090/S0002-9947-1903-1500625-X
- A. B. Coble, Collineations Whose Characteristic Determinants have Linear Elementary Divisors with an Application to Quadratic Forms, Amer. J. Math. 27 (1905), no. 1, 25–46. MR 1505956, DOI 10.2307/2370094 4. Arthur Byron Coble, The normal form of a ternary collineation and the simultaneous reduction of two conics to a normal form, Johns Hopkins University Circulars No. 1 (1905), 27-28. 5. Arthur Byron Coble, The linear relations among the minors of a symmetric determinant, Johns Hopkins University Circulars No. 9 (1906), 86-90.
- A. B. Coble, On the relation between the three-parameter groups of a cubic space curve and a quadric surface, Trans. Amer. Math. Soc. 7 (1906), no. 1, 1–20. MR 1500728, DOI 10.1090/S0002-9947-1906-1500728-2
- A. B. Coble, An Invariant Condition for Certain Automorphic Algebraic Forms, Amer. J. Math. 28 (1906), no. 4, 333–366. MR 1505997, DOI 10.2307/2370068 8. Arthur Byron Coble, A configuration in finite geometry isomorphic with that of the 27 lines of a cubic surface, Johns Hopkins University Circulars No. 7 (1908), 80-88.
- Arthur B. Coble, An application of the form-problems associated with certain Cremona groups to the solution of equations of higher degree, Trans. Amer. Math. Soc. 9 (1908), no. 4, 396–424. MR 1500819, DOI 10.1090/S0002-9947-1908-1500819-8
- Arthur B. Coble, Symmetric Binary Forms and Involutions, Amer. J. Math. 31 (1909), no. 2, 183–212. MR 1506068, DOI 10.2307/2370103
- Arthur B. Coble, Symmetric Binary Forms and Involutions–(Continued), Amer. J. Math. 31 (1909), no. 4, 355–364. MR 1506080, DOI 10.2307/2369882
- Arthur B. Coble, Symmetric Binary Forms and Involutions–Continued, Amer. J. Math. 32 (1910), no. 4, 333–364. MR 1506111, DOI 10.2307/2370186
- Arthur B. Coble, An application of Moore’s cross-ratio group to the solution of the sextic equation, Trans. Amer. Math. Soc. 12 (1911), no. 3, 311–325. MR 1500891, DOI 10.1090/S0002-9947-1911-1500891-5
- Arthur B. Coble, The reduction of the sextic equation to the Valentiner form-problem, Math. Ann. 70 (1911), no. 3, 337–350. MR 1511624, DOI 10.1007/BF01564501 15. Arthur Byron Coble, The lines and triple tangent planes of a cubic surface, Johns Hopkins University Circulars No. 2 (1911), 59-63. 16. Arthur Byron Coble, The linear complex in the finite geometry (mod. 2) of an S5, Johns Hopkins University Circulars No. 2 (1912), 43-46.
- Arthur B. Coble, An application of finite geometry to the characteristic theory of the odd and even theta functions, Trans. Amer. Math. Soc. 14 (1913), no. 2, 241–276. MR 1500946, DOI 10.1090/S0002-9947-1913-1500946-7
- Arthur B. Coble, Restricted Systems of Equations, Amer. J. Math. 36 (1914), no. 2, 167–186. MR 1506215, DOI 10.2307/2370238
- Arthur B. Coble, Restricted Systems of Equations, Amer. J. Math. 36 (1914), no. 4, 395–418. MR 1506232, DOI 10.2307/2370372
- Arthur B. Coble, Point sets and allied Cremona groups. I, Trans. Amer. Math. Soc. 16 (1915), no. 2, 155–198. MR 1501008, DOI 10.1090/S0002-9947-1915-1501008-7
- Arthur B. Coble, Point sets and allied Cremona groups. II, Trans. Amer. Math. Soc. 17 (1916), no. 3, 345–385. MR 1501047, DOI 10.1090/S0002-9947-1916-1501047-7 22. Arthur Byron Coble, A proof of White’s porism, Proc. Nat. Acad. Sci. U.S.A. 2 (1916), 530-531.
- Arthur B. Coble, An isomorphism between theta characteristics and the $(2p+2)$-point, Ann. of Math. (2) 17 (1916), no. 3, 101–112. MR 1503573, DOI 10.2307/2007269
- Arthur B. Coble, Point sets and allied Cremona groups. III, Trans. Amer. Math. Soc. 18 (1917), no. 3, 331–372. MR 1501073, DOI 10.1090/S0002-9947-1917-1501073-9
- Arthur B. Coble, Theta Modular Groups Determined by Point Sets, Amer. J. Math. 40 (1918), no. 4, 317–340. MR 1507902, DOI 10.2307/2370432
- Arthur B. Coble, Concerning a Method for Finding a Particular Integral, Amer. Math. Monthly 26 (1919), no. 1, 12–15. MR 1519166, DOI 10.2307/2974041
- Arthur B. Coble, The Ten Nodes of the Rational Sextic and of the Cayley Symmetroid, Amer. J. Math. 41 (1919), no. 4, 243–265. MR 1506391, DOI 10.2307/2370285
- Arthur B. Coble, Multiple Binary Forms with the Closure Property, Amer. J. Math. 43 (1921), no. 1, 1–19. MR 1506425, DOI 10.2307/2370303
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5 30. Arthur Byron Coble, Geometric aspects of the abelian modular functions of genus four. I, II, Proc. Nat. Acad. Sci. U.S.A. 7 (1921), 234-238, 245-249.
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5
- Arthur B. Coble, Associated sets of points, Trans. Amer. Math. Soc. 24 (1922), no. 1, 1–20. MR 1501210, DOI 10.1090/S0002-9947-1922-1501210-8 33. Arthur Byron Coble, Geometric aspects of the abelian modular functions of genus four. III, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 183-187.
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5
- Arthur B. Coble, Geometric Aspects of the Abelian Modular Functions of Genus Four, Amer. J. Math. 46 (1924), no. 3, 143–192. MR 1506527, DOI 10.2307/2370802
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5
- H. R. Brahana and A. B. Coble, Maps of Twelve Countries with Five Sides with a Group of Order 120 Containing an Ikosahedral Subgroup, Amer. J. Math. 48 (1926), no. 1, 1–20. MR 1506570, DOI 10.2307/2370817
- Arthur B. Coble, Double binary forms with the closure property, Trans. Amer. Math. Soc. 28 (1926), no. 3, 357–383. MR 1501350, DOI 10.1090/S0002-9947-1926-1501350-7 39. Arthur Byron Coble with F. Morley, New results in elimination, Amer. J. Math. 49 (1927), 463-488. 40. Arthur Byron Coble, Topics in algebraic geometry. Chap. IV: Planar Cremona transformations; Chap. VIII: Cremona transformations in space and hyperspace, Bull. National Research Council No. 63 (1928), 79-121, 197-226.
- Arthur B. Coble, Algebraic geometry and theta functions, American Mathematical Society Colloquium Publications, Vol. X, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123958
- Arthur B. Coble, Geometric Aspects of the Abelian Modular Functions of Genus Four. Part II, Amer. J. Math. 51 (1929), no. 4, 495–514. MR 1506732, DOI 10.2307/2370579
- Arthur B. Coble, A Generalization of the Weddle Surface, of Its Cremona Group, and of Its Parametric Expression in Terms of Hyperelliptic Theta Functions, Amer. J. Math. 52 (1930), no. 3, 439–500. MR 1507919, DOI 10.2307/2370617
- Arthur B. Coble, Recent Publications: Reviews: A Treatise on Algebraic Plane Curves, Amer. Math. Monthly 39 (1932), no. 5, 293–295. MR 1522528, DOI 10.2307/2300863
- Arthur B. Coble, Hyperelliptic Functions and Irrational Binary Invariants. I, Amer. J. Math. 54 (1932), no. 3, 425–452. MR 1506908, DOI 10.2307/2370886
- Arthur B. Coble, Hyperelliptic Functions and Irrational Binary Invariants. II, Amer. J. Math. 55 (1933), no. 1-4, 1–21. MR 1506940, DOI 10.2307/2371106
- Arthur B. Coble, Hyperelliptic Functions and Irrational Binary Invariants. III, Amer. J. Math. 55 (1933), no. 1-4, 349–375. MR 1506971, DOI 10.2307/2371137
- Arthur B. Coble, Cremona’s Diophantine Equations, Amer. J. Math. 56 (1934), no. 1-4, 459–489. MR 1507037, DOI 10.2307/2370949
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5
- Arthur B. Coble and Josephine H. Chanler, The Geometry of the Weddle Manifold $W_p$, Amer. J. Math. 57 (1935), no. 2, 183–218. MR 1507065, DOI 10.2307/2371198
- Arthur B. Coble, Collineation Groups in a Finite Space with a Linear and a Quadratic Invariant, Amer. J. Math. 58 (1936), no. 1, 15–34. MR 1507132, DOI 10.2307/2371056
- Arthur B. Coble, Groups of Cremona transformations in space of planar type, Duke Math. J. 2 (1936), no. 1, 1–9. MR 1545901, DOI 10.1215/S0012-7094-36-00201-6
- Arthur B. Coble, Groups of Cremona transformations in space of planar type. II, Duke Math. J. 2 (1936), no. 2, 205–219. MR 1545919, DOI 10.1215/S0012-7094-36-00219-3
- Arthur B. Coble, A class of linear groups with integral coefficients, Duke Math. J. 3 (1937), no. 2, 175–199. MR 1545978, DOI 10.1215/S0012-7094-37-00312-0
- Arthur Mattuck, Arthur Byron Coble, Bull. Amer. Math. Soc. 76 (1970), 693–699. MR 255357, DOI 10.1090/S0002-9904-1970-12509-5
- Arthur B. Coble, Configurations defined by theta functions, Duke Math. J. 5 (1939), 479–488. MR 160
- Arthur B. Coble, Conditions on the nodes of a rational plane curve, Duke Math. J. 7 (1940), 396–410. MR 5648
- Arthur B. Coble, Conditions on the nodes of a rational plane curve, Duke Math. J. 7 (1940), 396–410. MR 5648
- Arthur B. Coble, The double-$N_n$ configuration, Duke Math. J. 9 (1942), 436–449. MR 6452
- Arthur B. Coble, A particular set of ten points in space, Duke Math. J. 9 (1942), 450–453. MR 6453
- Arthur B. Coble, Ternary and quaternary elimination, Amer. J. Math. 68 (1946), 521–543. MR 17721, DOI 10.2307/2371782
- Arthur B. Coble, On the expression of an algebraic form in terms of a set of forms with non-zero resultant, Amer. J. Math. 68 (1946), 544–552. MR 17722, DOI 10.2307/2371783
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 693-699
- DOI: https://doi.org/10.1090/S0002-9904-1970-12509-5
- MathSciNet review: 0255357