### 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 |
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Pages (from-to) | 1-31 |

Number of pages | 31 |

Journal | Mathematische Zeitschrift |

DOIs | |

Publication status | Accepted/In press - 2016 Oct 31 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Bannai, K., Kobayashi, S., & Yasuda, S. (Accepted/In press). The radius of convergence of the p-adic sigma function.

*Mathematische Zeitschrift*, 1-31. https://doi.org/10.1007/s00209-016-1783-x