TY - JOUR
T1 - The radius of convergence of the p-adic sigma function
AU - Bannai, Kenichi
AU - Kobayashi, Shinichi
AU - Yasuda, Seidai
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-016-1783-x
DO - 10.1007/s00209-016-1783-x
M3 - Article
AN - SCOPUS:84992708495
VL - 286
SP - 751
EP - 781
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 1-2
ER -