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

共 14 条

[1] A remark on the least n with χ(n)≠1
Baier, S
[J]. ARCHIV DER MATHEMATIK, 2006, 86 (01) : 67 - 72
[2] The number of elliptic curves over Q with conductor N
Brumer, A
Silverman, JH
[J]. MANUSCRIPTA MATHEMATICA, 1996, 91 (01) : 95 - 102
[3] Short character sums for composite moduli
Chang, Mei-Chu
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2014, 123 : 1 - 33
[4] Dabrowski A., ARXIV191200345V1MATH
[5] ON A LINNIK PROBLEM FOR ELLIPTIC CURVES
Djbrowski, Andrzej
Pomykala, Jacek
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (09) : 3759 - 3763
[6] Duke W, 2000, INVENT MATH, V139, P1
[7] Multiplicative mimicry and improvements to the Polya-Vinogradov inequality
Goldmakher, Leo
[J]. ALGEBRA & NUMBER THEORY, 2012, 6 (01) : 123 - 163
[8] The distribution of values of L(1, χd)
Granville, A
Soundararajan, K
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2003, 13 (05) : 992 - 1028
[9] Iwaniec H., 2004, C PUBLICATIONS, V53
[10] QUADRATIC NON-RESIDUES IN SHORT INTERVALS
Konyagin, Sergei V.
Shparlinski, Igor E.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (10) : 4261 - 4269

← 1 2 →