Modular case of Levinson's theorem

被引：5

作者：

Bernard, Damien ^{[1
]}

机构：

[1] Univ Blaise Pascal, Math Lab, F-63171 Aubiere, France

来源：

ACTA ARITHMETICA | 2015年 / 167卷 / 03期

关键词：

L-function; modular form; non-trivial zeros; proportion; Levinson; shifted convolution sums; integral moments; mollified second moment; RIEMANN ZETA-FUNCTION; SELBERG L-FUNCTIONS; FOURIER COEFFICIENTS; CRITICAL LINE; ZEROS; SQUARE; 4TH;

D O I：

10.4064/aa167-3-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-functions, an explicit positive proportion of zeros which lie on the critical line. Copyright © 2007-2014 by IMPAN. All rights reserved.

引用

页码：201 / 237

页数：37

共 28 条

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