Reviews and Descriptions of Tables and Books

Journal:
Math. Comp. **29** (1975), 329-340

DOI:
https://doi.org/10.1090/S0025-5718-75-99680-5

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References | Additional Information

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GOLDSTINE, "A numerical study of a conjecture of Kummer,"*MTAC*, v. 7, 1953, pp. 133-134. MR**0055784 (14:1126d)****[2]**EMMA LEHMER, "On the location of Gauss sums,"*MTAC*, v. 10, 1956, pp. 194-202. MR**0086092 (19:123a)****[3]**A. I. VINOGRADOV, "On the cubic Gaussian sum,"*Izv. Akad. Nauk SSSR Ser. Mat.*, v. 31, 1967, pp. 123-148. (Russian) MR**0207666 (34:7481)****[4]**C.-E. FRÖBERG, "New results on the Kummer conjecture,"*BIT*, v. 14, 1974, pp. 117-119. MR**0337728 (49:2497)****[5]**DANIEL SHANKS, "The simplest cubic fields,"*Math. Comp.*, v. 28, 1974, pp. 1137-1152. MR**0352049 (50:4537)****[6]**J. W. S. CASSELS, "On Kummer sums,"*Proc. London Math. Soc.*, v. 21, 1970, pp. 19-27. MR**0266895 (42:1797)****[1]**MARIE NICOLE GRAS, "Méthodes et algorithmes pour le calcul numérique du nombre de classes et des unités des extensions cubiques cycliques de*Q." Crelle's J.*(To appear.) MR**0389845 (52:10675)****[2]**G. GRAS, "Sur les*l*-classes d'ideaux dans les extensions cycliques relatives de degre premier*l*," Thèse, Grenoble, 1972.**[3]**MARIE-NICOLE MONTOUCHET, "Sur le nombre de classes du sous-corps cubique de ," Thèse, Grenoble, 1971.**[4]**DANIEL SHANKS, "The simplest cubic fields,"*Math. Comp.*, v. 28, 1974, pp. 1137-1152. MR**0352049 (50:4537)****[1]**K. IWASAWA & C. SIMS, "Computation of invariants in the theory of cyclotomic fields,"*J. Math. Soc. Japan*, v. 18, 1966, pp. 86-96. MR**34**#2560. MR**0202700 (34:2560)****[2]**W. JOHNSON, "On the vanishing of the Iwasawa invariant for ,"*Math. Comp.*, v. 27, 1973, pp. 387-396. MR**0384748 (52:5621)****[3]**W. JOHNSON, "Irregular prime divisors of the Bernoulli numbers,"*Math. Comp.*, v. 28, 1974, pp. 653-657. MR**0347727 (50:229)****[1]**UMT**48**,*MTAC*, v. 2, 1946, pp. 139-140.**[2]**D. N. LEHMER,*Factor Table for the First Ten Millions*, Washington, D. C, 1909; also*List of Prime Numbers from*1*to*10,006,721, Washington, D. C., 1914. (Both reprinted by Hafner Publishing Co., New York, 1956.)**[3]***MTAC*, v. 3, 1948, p. 222, N**93**.**[1]**R. B. LAKEIN & S. KURODA, UMT**38**,*Math. Comp.*, v., 24, 1970, pp. 491-493.**[2]**R. B. LAKEIN, "Computation of the ideal class group of certain complex quartic fields. 11,"*Math. Comp.*, v. 29, 1975, pp. 137-144 (this issue). MR**0444605 (56:2955)****[1]**R. B. LAKEIN, "Computation of the ideal class group of certain complex quartic fields,"*Math. Comp.*, v. 28, 1974, pp. 839-846. MR**0374090 (51:10290)****[2]**D. SHANKS, UMT 10,*Math. Comp.*, v. 23, 1969, pp. 213-214. MR**0262204 (41:6814)****[1]**O. KOLBERG, "Congruences for the coefficients of the modular invariant modulo powers of 2,"*Univ. Bergen Arbok Naturvit. Rekke*, v. 16, 1961.**[2]**D. H. LEHMER, "Properties of the coefficients of the modular invariant ,"*Amer. J. Math.*, v. 64, 1942, pp. 488-502. MR**0006210 (3:272c)****[3]**J. LEHNER, "Divisibility properties of the Fourier coefficients of the modular invariant ,"*Amer. J. Math.*, v. 71, 1949, pp. 136-148. MR**0027801 (10:357a)****[4]**J. LEHNER, "Further congruence properties of the Fourier coefficients of the modular invariant ,"*Amer. J. Math.*, v. 71, 1949, pp. 337-386.**[5]**M. NEWMAN, "Congruences for the coefficients of modular forms and for the coefficients of ,"*Proc. Amer. Math. Soc.*, v. 9, 1958, pp. 609-612. MR**0098729 (20:5184)****[6]**A. VAN WIJNGAARDEN, "On the coefficients of the modular invariant ,"*Nederl. Akad. Wetensch. Proc. Ser. A*, v. 16, 1953, pp. 389-400. MR**0058637 (15:403a)****[7]**H. S. ZUCKERMAN, "The computation of the smaller coefficients of ,"*Bull. Amer. Math. Soc.*, v. 45, 1939, pp. 917-919. MR**0001769 (1:294d)****[1]**DANIEL SHANKS, "A sieve method for factoring numbers of the form ,"*MTAC*, v. 13, 1959, pp. 78-86. MR**0105784 (21:4520)****[2]**DANIEL SHANKS, "On the conjecture of Hardy & Littlewood concerning the number of primes of the form ,"*Math. Comp.*, v. 14, 1960, pp. 321-332. MR**0120203 (22:10960)****[3]**DANIEL SHANKS, "Supplementary data and remarks concerning a Hardy-Littlewood conjecture,"*Math. Comp.*, v. 17, 1963, pp. 188-193. MR**0159797 (28:3013)****[1]**P. POULET, "Table des nombres composés vérifiant le théorème de Fermat pour le module 2 jusqu'à 100.000.000,"*Sphinx*, v. 8, 1938, pp. 42-52. For corrections see*Math. Comp.*, v. 25, 1971, pp. 944-945, MTE**485**; v. 26, 1972, p. 814, MTE**497**. MR**0655816 (58:31707)****[2]**P. ERDÖS, "On pseudoprimes and Carmichael numbers,"*Publ. Math. Debrecen*, v. 4, 1956, pp. 201-206. MR**0079031 (18:18e)****[1]**H. W. LLOYD TANNER,*Proc London Math. Soc.*, v. 18, 1886-1887, pp. 214-234; v. 24, 1892-1893, pp. 223-272.

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-75-99680-5

Article copyright:
© Copyright 1975
American Mathematical Society