On the Iwasawa $了$-invariant of the Real $p$-cyclotomic Field

スポンサーリンク

概要

• 論文の詳細を見る

• For any totally real number field $k$ and any prime number $p$, it is conjectured that the Iwasawa invariants $了_p(k)$ and $亮_p(k)$ are both zero. We give a new criterion for the conjecture to be true when $k$ is the real $p$-cyclotomic field, introducing a new way to apply $p$-adic $L$-functions. In a sense, it is a natural "generalization" of the classical criterion for the Vandiver conjecture.

• 東京大学の論文

著者

• Sumida Hiroki

  Department Of Mathematical Sciences University Of Tokyo

• Ichimura Humio

  Department of Mathematics, Yokohama City University

• Ichimura Humio

  Department of Mathematics Yokohama City University

関連論文

• On the Iwasawa $了$-invariant of the Real $p$-cyclotomic Field
• On the Iwasawa invariants of certain real abelian fields
• On a normal integral based problem over cyclotomic Z_p-extensions

スポンサーリンク