Non-zero central values of Dirichlet twists of elliptic L-functions

Pub Date : 2024-08-20 DOI:10.1016/j.jnt.2024.07.003
Hershy Kisilevsky, Jungbae Nam
{"title":"Non-zero central values of Dirichlet twists of elliptic L-functions","authors":"Hershy Kisilevsky,&nbsp;Jungbae Nam","doi":"10.1016/j.jnt.2024.07.003","DOIUrl":null,"url":null,"abstract":"<div><p>We consider heuristic predictions for small non-zero algebraic central values of twists of the <em>L</em>-function of an elliptic curve <span><math><mi>E</mi><mo>/</mo><mi>Q</mi></math></span> by Dirichlet characters. We provide computational evidence for these predictions and consequences of them for instances of an analogue of the Brauer-Siegel theorem associated to <span><math><mi>E</mi><mo>/</mo><mi>Q</mi></math></span> extended to chosen families of cyclic extensions of fixed degree.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022314X24001719/pdfft?md5=a0edf993c65449e6ef9e685a75b7c9ac&pid=1-s2.0-S0022314X24001719-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022314X24001719","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

We consider heuristic predictions for small non-zero algebraic central values of twists of the L-function of an elliptic curve E/Q by Dirichlet characters. We provide computational evidence for these predictions and consequences of them for instances of an analogue of the Brauer-Siegel theorem associated to E/Q extended to chosen families of cyclic extensions of fixed degree.

分享
查看原文
椭圆 L 函数 Dirichlet 扭曲的非零中心值
我们考虑了关于椭圆曲线 E/Q 的 L 函数捻的非零代数中心值的启发式预测。我们提供了这些预测的计算证据,以及这些预测对与 E/Q 相关的布劳尔-西格尔定理的实例的影响,该定理扩展到固定度数的循环扩展的选定族。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信