A Criterion for the Generalized Riemann Hypothesis

A Criterion for the Generalized Riemann Hypothesis

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摘要 In this paper, we study the automorphic L-functions attached to the classical automorphic forms on GL（2）, i.e. holomorphic cusp form. And we also give a criterion for the Generalized Riemann Hypothesis （GRH） for the above L-functions. In this paper, we study the automorphic L-functions attached to the classical automorphic forms on GL（2）, i.e. holomorphic cusp form. And we also give a criterion for the Generalized Riemann Hypothesis （GRH） for the above L-functions.

作者 Jin Hong LI

机构地区 School of Mathematics College of Mathematics and Physics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第11期1875-1880,共6页 数学学报（英文版）

关键词 GRH L-FUNCTION holomorphic cusp form GRH, L-function, holomorphic cusp form

分类号 O156.4 [理学—基础数学] O174.5 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2009年第11期

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A Criterion for the Generalized Riemann Hypothesis

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