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603 数理解析研究所講究録

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月 1987 年 1

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RIMS Kuleyu7Laleu 603

A1gebraic Number Theory

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Jaunuary, i987

Research Instutute for Mathematical Seiences

Kyoto University, Kyoto, Japan”

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Preface

This brochure contains account of all the lectures at the symposium on Algebraic Number Theory held at the Research rnstitute for Mathematical Sczences (RIMS), the University of Kyoto, from June 22 through July 3, 1986. This symposium was jointly sponsered by the RrMS and the Taniguchi Foundation and was also

supported by the Grant-in-Aid for Scientzfic Research from the Mimstry of Education (Prof. K. Shiratam of Kyushu Univ.). We are thankful to these znstitutions, and we would also hke to express our thatnks to the lecturers for their wilhng cooperation.

G. FuJisaki

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代数的数論研究集会報告集

1986年6月30日{}˜ 7月3日

研究代表者藤崎源二郎(Genj hft◎Ful isaki)

Dedekind sums and special values of L-fultctioRs 一名大・理俘藤博(騰 roshHto) Theta functiofts on the hyperbolic three space

Ru tgers Un i v. Rober t Sczech Niedere Po tenzpi3 xsen Ririgklassene inheitefi

Univ. Augsburg Reinhard Schertz On some generic expressiok of Gauss sums 一

都立大・i理二木博:雄(Hiroo欝ki¿

Cortgruence relations betwpven class ngmbers of qwadratic f ields

阪大・理山本芳彦(Yoshihiko Yamamoto) THE CLASS NonBER TWO PReBLEM FOR CERTA I N QUART I C F i ELDS

Carleton Univ. Kenneth S. t i11iams

Nombres de classes dans cer ta ines ex tens ions inf i ni es

IJniv. de Grenoble par R. Gillard

Existence of an unramified cyclic ex Lens ion alt〈il congruence coRditioi3s 都立大・i理石田信くMakoto Ishida) xOn p一ad ic Ga l vi s一r epresen ta ti ons at ta ched tj the el i ip ti c i lj rves

over Fp[[t]]

東大・理藤原靖(Yasushi Fuj魚dra)

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eft .e3-divisibi1ity of class nkmbers of .e –cyclic extensiofts jil$jllrt·31;tg ljE!lma ?tih,’.4. ¡Kirotada Naito) [he Structure of the Ray Class Group

Univ. of Connecticut Gary Cornell

On a characterization of algebraic number fields by their Galois

groups of p-closed Galois extensions

ILJJ¡’pa j*:ili g (Ylltaka Sueyoshi¿

Oft sufficient conditiofts for the Leopoldt conjecture

S2}illll !FIX]iX l-l-i-F ?k (Hiroshi￥amasita) Note on central extensions and Leopoldt’s coftjecture

fel2}ilJJit ’ ]{g ili}iEl j:￥iE (Yoshiomi Furuta ) Binary Quadratic Forms, I)ihedral Fields and Becoraposition Laws

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7 をく一ζ 1 σひ蒼ン

603

数理解析研究所講究録

数 向冊

三 的 代

研究 所 解析

数理 大

子

京都