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.
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页码：201 / 237
页数：37
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