Large deviations for values of $L$-functions attached to cusp forms in the level aspect

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-05-12 DOI:10.2969/jmsj/88888888

Masahiro Mine

引用次数: 2

Abstract

We study the distribution of values of automorphic L-functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of L-functions.

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在水平方面，附属于尖端形式的$L$函数值的较大偏差

研究了具有素水平的全纯尖形族中自同构l函数值的分布。我们证明了一个与此值分布密切相关的密度函数的渐近公式。该公式适用于估计l函数的大值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).