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References
- Derrick Henry Lehmer, Guide to Tables in the Theory of Numbers, National Research Council, Washington, D.C., 1941. Bulletin of the National Research Council, No. 105. MR 0003625 S. A. Joffe, Editorial Note in connection with Kulikâs Magnus Canon Divisorum . . . , UMT 48, MTAC, v. 2, 1946, p. 139-140. J. Peters, A. Lodge, E. J. Ternouth, & E. Gifford, Factor Table giving the Complete Decomposition of all Numbers less than 100,000. (British Association for the Advancement of Science, Mathematical Tables, v. 5.) London, BAAS, 1935. J. KavĂĄn Factor Tables giving the Complete Decomposition into Prime Factors of All Numbers up to 256,000 . . ., Macmillan, London, 1937. [RMT 196, MTAC, v. 1, 1945, p. 420-421.]
- D. H. Lehmer, On the roots of the Riemann zeta-function, Acta Math. 95 (1956), 291â298. MR 86082, DOI 10.1007/BF02401102 A. Gloden, Table de factorisation des nombres ${N^4} + 1$ dans lâintervalle 3001-6000. [UMT 108, MTAC, v. 4, 1950, p. 224.] S. Hoppenot, Table des Solutions de la Congruence ${x^4} \equiv - 1(\bmod N)pour\;100000 < N < 200000$, Brussels, Librairie du âSphinx,â 1935. [RMT 48, MTAC, v. 1, 1943, p. 6.]
- A. Gloden, Table des solutions de la congruence $X^4+1\equiv 0\pmod p$ pour $2.10^5<p<3.10^5$, Mathematica, TimiĆoara 21 (1945), 45â65 (French). MR 0013385 Albert Delfield, âTable des solutions de la congruence ${X^4} + 1 \equiv 0(\bmod p)\operatorname {pour} 300000 < p < 350000$,â Institut Grand-ducal Luxembourg, Section des Sciences, Archives, v. 16, 1946. [RMT 346, MTAC, v. 2, 1947, p. 210-211.] Albert Gloden, Table des solutions de la congruence ${x^4} + 1 \equiv 0(\bmod p)pour\;350.000 < p < 500.000$, Luxembourg, author, 11 rue Jean JaurĂšs, and Paris, Centre de Documentation Universitaire, 1946. [RMT 410, MTAC, v. 2, 1947, p. 300-301.]
- A. Gloden, Table de factorisation des nombres $2N^2+1$ pour $500<N\leq 1000$, Published by the author, Luxembourg, 1957 (French). 2Ăšme Ă©d. MR 0086411 A. Gloden, Solutions of ${x^4} + 1 \equiv 0(\bmod p)for\;600000 < p < 800000$ [RMT 1169, MTAC, v. 8, 1954, p. 77.]
- Raphael M. Robinson, Factors of Fermat numbers, Math. Tables Aids Comput. 11 (1957), 21â22. MR 85269, DOI 10.1090/S0025-5718-1957-0085269-0 A. Cunningham & H. J. Woodall, âFactorisation of $Q = ({2^q} \mp q)$ and $(q{.2^q} \mp 1)$,â Messenger Math., v. 47, 1917, p. 1-38. E. Jahnke & F. Emde, Funktionentafeln mit Formeln und Kurven, second edition, Leipzig and Berlin, 1933, p. 178-179; also with various page numbers in later editions. IA. M. KheÄfets, Tablitsy normirovannykh prisoedinennykh polinomov Lezhandra (Tables of normalized associated Legendre polynomials), Moscow, Gidrometeoizdat, 1950. R. and L. Egersdörfer, Formeln und Tabellen der zugeordneten Kugelfunktionen 1. Art von $n = 1$ bis $n = 20$. I. Teil: Formeln. Reichamt fĂŒr Wetterdienst, Wissenschaftliche Abhandlungen, Bd. I, Nt. 6, Berlin, 1936.
- A. Fletcher, J. C. P. Miller, and L. Rosenhead, An Index of Mathematical Tables, McGraw-Hill Book Co., New York; Scientific Computing Service Ltd., London, 1946. MR 0018419, DOI 10.1090/s0025-5718-45-99069-7 BAAS, Mathematical Tables Report, âBessel functions of half-odd integral order,â Cambridge University Press, 1925, p. 221-233. E. C. J. von Lommel, Munich Abhandlungen, v. 15, 1886, p. 529-664.
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110 Eugene Jahnke & Fritz Emde, Funktionentafeln mit Formeln und Kurven, Teubner, Leipzig and Berlin, 1909 and 1948. K. Reitz, Institut fur Praktische Mathematik, Darmstadt, Reports, âTabellierung Besselscher Funktionen,â 4. Bericht, p. 2-9; 6. Bericht, p. 2-31; 9 Bericht, p. 2-37, 1945. National Bureau of Standards Computation Laboratory, Tables of Spherical Bessel Functions, v. I and II, Columbia University Press, New York, 1947.
- R. O. Gumprecht and C. M. Sliepcevich, Tables of Riccati Bessel functions for large arguments and orders, University of Michigan, Engineering Research Institute, Ann Arbor, Mich., 1951. MR 0045441 BAAS, Mathematical Tables Report, Cambridge University Press, 1925, p. 221-233. BAAS, Mathematical Tables, v. 7, The Probability Integral, W. F. Sheppard, Cambridge University Press, 1939. D. Biernes de Haan, Nouvelles Tables dâIntĂ©grales DĂ©finies, Hafner Publishing Co., New York, 1957. [Review 60, MTAC, v. 11, 1957, p. 111.]
- C. F. Lindman, Examen des Nouvelles Tables dâIntĂ©grales DĂ©finies de M. Bierens de Haan. Amsterdam 1867, G. E. Stechert & Co., New York, 1944 (French). MR 0010756
- Hermann-Josef Kopineck, Austausch- und andere Zweizentrenintegrale mit $2s$- und $2p$-Funktionen, Z. Naturforschung 5a (1950), 420â431 (German). MR 0038498, DOI 10.1515/zna-1950-0802
- Hermann-Josef Kopineck, Zweizentrenintegrale mit $2s$- und $2p$-Funktionen. II. Ionenintegrale, Z. Naturforschung 6a (1951), 177â183 (German). MR 0042561, DOI 10.1515/zna-1951-0402
- Hermann-Josef Kopineck, Zweizentrenwechselwirkungs-integrale. III. Integrale mit $2p$- und wasserstoffĂ€hnlichen $2s$-Funktionen, Z. Naturforschung 7a (1952), 785â800 (German). MR 0052591, DOI 10.1515/zna-1952-1204
- Heinz Rutishauser, Der Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 5 (1954), 233â251 (German). MR 63763, DOI 10.1007/bf01600331
- Heinz Rutishauser, Anwendungen des Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 5 (1954), 496â508 (German). MR 68314, DOI 10.1007/BF01601216
- Heinz Rutishauser, Bestimmung der Eigenwerte und Eigenvektoren einer Matrix mit Hilfe des Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 6 (1955), 387â401 (German). MR 75674, DOI 10.1007/BF01589764
- P. C. Hammer, O. J. Marlowe, and A. H. Stroud, Numerical integration over simplexes and cones, Math. Tables Aids Comput. 10 (1956), 130â137. MR 86389, DOI 10.1090/S0025-5718-1956-0086389-6
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Math. Comp. 11 (1957), 272-308
- DOI: https://doi.org/10.1090/S0025-5718-57-99287-6