Signatures of Dirichlet characters and elliptic curves

被引：1

作者：

Dabrowski, Andrzej ^{[1
]}

Pomykala, Jacek ^{[2
]}

机构：

[1] Univ Szczecin, Inst Math, Wielkopolska 15, PL-70451 Szczecin, Poland

[2] Warsaw Univ, Inst Math, Banacha 2, PL-02097 Warsaw, Poland

来源：

JOURNAL OF NUMBER THEORY | 2021年 / 220卷

关键词：

Dirichlet character; Elliptic curve; Signature; VALUES;

D O I：

10.1016/j.jnt.2020.08.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a lower bound for the number of conductors q <= Q with q equivalent to 1( mod r) having t prime divisors of Dirichlet characters chi of fixed order r and with given values chi(p) for primes p <= B. We also give an elliptic curve variant of this result. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：94 / 106

页数：13