The radius of convergence of the p-adic sigma function

Kenichi Bannai; Shinichi Kobayashi; Seidai Yasuda

doi:10.1007/s00209-016-1783-x

The radius of convergence of the p-adic sigma function

Kenichi Bannai, Shinichi Kobayashi, Seidai Yasuda

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	751-781
Number of pages	31
Journal	Mathematische Zeitschrift
Volume	286
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-016-1783-x
Publication status	Published - Jun 1 2017

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All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Bannai, K., Kobayashi, S., & Yasuda, S. (2017). The radius of convergence of the p-adic sigma function. Mathematische Zeitschrift, 286(1-2), 751-781. https://doi.org/10.1007/s00209-016-1783-x

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10.1007/s00209-016-1783-x