On the universal power series for Jacobi sums and the vandiver conjecture

Humio Ichimura, Masanobu Kaneko

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

We shall study some explicit connections between (1) the Vandiver conjecture on the class number of the real cyclotomic field Q(cos(2π/l)) and (2) the images of various Galois representations induced from the power series representation (constructed and studied by Ihara, Anderson, Coleman, etc.) of Gal(Q/Q(μI∞)) which describes universally the Galois action on the Fermat curves of l-power degrees. One such connection was first discovered by Coleman. In the case of the original power series representation, we shall also describe the difference between the "expected image" and the actual Galois image in terms of a certain invariant of Iwasawa type.

本文言語英語
ページ(範囲)312-334
ページ数23
ジャーナルJournal of Number Theory
31
3
DOI
出版ステータス出版済み - 3 1989
外部発表はい

All Science Journal Classification (ASJC) codes

  • 代数と数論

フィンガープリント

「On the universal power series for Jacobi sums and the vandiver conjecture」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル