Non-vanishing of automorphic L-functions of prime power level

被引：0
作者：
Olga Balkanova
Dmitry Frolenkov
机构：
[1] Far Eastern Branch of the Russian Academy of Sciences,Institute for Applied Mathematics
[2] Steklov Mathematical Institute of Russian Academy of Sciences,undefined
来源：
Monatshefte für Mathematik | 2018年 / 185卷
关键词：
L-functions; Primitive forms; Non-vanishing; Prime power level; Primary 11F12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that at the minimum 25%\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$25\%$$\end{document} of L-values associated to holomorphic newforms of fixed even integral weight and large prime power level do not vanish at the critical point.
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页码：17 / 41
页数：24
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