On the universal p-adic sigma and Weierstrass zeta functions

被引：0

作者：

Blakestad, Clifford ^{[1
]}

Grant, David ^{[1
]}

机构：

[1] Univ Colorado Boulder, Dept Math, Boulder, CO 80309 USA

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 249卷

关键词：

Elliptic curves; p-adic sigma functions; ARITHMETIC MODULI;

D O I：

10.1016/j.jnt.2023.01.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For primes p > 3 we produce a new derivation of the universal p-adic sigma function and p-adic Weierstrass zeta functions of Mazur and Tate for elliptic curves with good ordinary or multiplicative reduction by a method that highlights congruences among coefficients in Laurent expansions of elliptic functions, and works simultaneously for generalized elliptic curves defined by Weierstrass equations.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：348 / 376

页数：29

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