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Book Review
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Book Information
Author(s):
Ph. Cassou-Noguès and M. J. Taylor
Title:
Elliptic functions and rings of integers
Additional book information:
Progress in Mathematics, vol. 66, Birkhäuser, Boston, Basel and Stuttgart, 1987, xvi + 198 pp., $29.50. ISBN 0-8176-3350-2
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- Ph. Cassou-Noguès and M. J. Taylor, A note on elliptic curves and the monogeneity of rings of integers, J. London Math. Soc. (2) 37 (1988), 63-72. MR 921747
- 4.
- J. Cougnard, Conditions nécessaires de monogénéité, application aux extensions cycliques de degré premier l ≥ 5 d'un corps quadratique imaginaire, J. London Math. Soc. (2) 37 (1988), 73-87. MR 921746
- 5.
- A. Fröhlich, Galois module structure of algebraic integers, Ergebnisse 3 Folge Band I, Springer-Verlag, Berlin and New York, 1983. MR 717033
- 6.
- M. N. Gras, Non-monogénéite de l'anneau des entiers des extensions cycliques de Q de degré premier l ≥ 5, J. Number Theory 23 (1986), 347-353. MR 846964
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- L. Kronecker, Werke, Band V, (K. Hensel ed. ), Teubner, Leipzig and Berlin, 1930.
- 9.
- R. Langlands, Automorphic representations, Shimura varieties and motives. Ein Märchen, Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence, R. I., 1979, pp. 205-246. MR 546619
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- 13.
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- 15.
- H. M. Stark, Hilbert's twelfth problem and L-series, Bull. Amer. Math. Soc. 83 (1977), 1072-1074. MR 441923
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- H. M. Stark, L-functions at s = 1. III. Totally real fields and Hilbert's Twelfth Problem, Adv. in Math. 22 (1976), 64-84. MR 437501
- 17.
- H. M. Stark, L-functions at s = 1. IV. First derivatives at s = 0, Adv. in Math. 35 (1980), 197-235. MR 563924
- 18.
- J. Tate, Les Conjectures de Stark sur les fonctions L d'Artin en s = 0, Notes d'un cours à Orsay rédigées par D. Bernardi et N. Schappacher, Birkhäuser, Boston, Basel, Stuttgart, 1984. MR 782485
- 19.
- M. J. Taylor, Formal groups and the Galois module structure of local rings of integers, J. Reine Angew. Math. 358 (1985), 97-103. MR 797677
- 20.
- M. J. Taylor, Mordell-Weil groups and the Galois module structure of rings of integers, Illinois J. Math. (to appear). MR 947037
- 21.
- M. J. Taylor, Relative Galois module structure of rings of integers and elliptic functions, Math. Proc Cambridge Philos. Soc. 94 (1983), 389-397; II, Ann. of Math. (2) 121 (1985), 519-535; III, Proc. London Math. Soc. (3) 51 (1985), 415-431. MR 720789
Additional Information:
Reviewer(s):
Ted
Chinburg
Review Information:
Journal:
Bull. Amer. Math. Soc.
20
(1989),
117-121.
DOI:
10.1090/S0273-0979-1989-15722-4
PII:
S 0273-0979(1989)15722-4
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