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p-adic L-functions and algebraic number theory. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, October 20-24, 1980. (Japanese) Zbl 0539.12001

{The article of this volume will not be reviewed individually.}
Contents: Yasuo Morita, Preface (p. 1).
Chapter I. Introduction to p-adic L-functions: Yasuo Morita, Kummer congruences and the work of Kubota-Leopoldt (pp. 2-9); Aichi Kudō, p-adic L-functions and the class number formula for a cyclotomic field (pp. 10-18); Yuji Kida, \({\mathbb{Z}}_ p\)-extensions and invariants (pp. 19-26); Katsuya Miyake, On Leopoldt’s conjecture (pp. 27-61); Toshitaka Kataoka, Stickelberger’s theorem and Iwasawa’s main conjecture (pp. 62-68); Yasuo Morita, The work of Ferrero and Washington (pp. 69-76); Masao Koike, Modular curves and cyclotomic fields (introduction to the work of Mazur and Wiles) (pp. 77- 87).
Chapter II. General lectures: Ken Nakamura, Elliptic units and class number calculation (pp. 88-98); Kiyoaki Iimura, On the \(\ell\)-rank of ideal class groups of algebraic number fields (pp. 99- 108); Shigeru Kanemitsu, On the Riesz sums of some arithmetical functions (pp. 109-120); Tomio Kubota, Geometry of numbers and class field theory (pp. 121-141); Toshitaka Kataoka, Class number relations (pp. 142-161); Shōyū Nagaoka, On the theta functions of exceptional domains (pp. 162-169); Shigenobu Kuroda, Integral bases of Galois extensions of number fields (pp. 170-175); Shin- ichirō Mizumoto, Fourier coefficients of generalized Eisenstein series of degree two (pp. 176-183); Katsuya Miyake, On the general principal ideal theorem (pp. 184-188); Yoshiharu Monji, On the cusp form periods (pp. 189-198); Genjirō Fujizaki, On Chowla’s theorem (pp. 199-202); Ichirō Satake, On special values of zeta functions associated with a self-dual cone (pp. 203-224).

MSC:

12-06 Proceedings, conferences, collections, etc. pertaining to field theory
00Bxx Conference proceedings and collections of articles
11-06 Proceedings, conferences, collections, etc. pertaining to number theory