The radius of convergence of the p-adic sigma function

被引：0

作者：

Kenichi Bannai

Shinichi Kobayashi

Seidai Yasuda

机构：

[1] Keio University,Department of Mathematics

[2] Keio University,KiPAS

[3] Kyushu University,Faculty of Mathematics

[4] Osaka University,Department of Mathematics

来源：

Mathematische Zeitschrift | 2017年 / 286卷

关键词：

Supersingular Reduction; Supersingular Case; Colmez; Lubin-Tate Group; Ordinary Reduction;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The purpose of this article is to investigate the radius of convergence of the p-adic sigma function of elliptic curves, especially when p is a prime of supersingular reduction. As an application, we prove certain p-divisibility of critical values of Hecke L-functions of imaginary quadratic fields at inert primes.

引用

页码：751 / 781

页数：30

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