Higher moments of certain L-functions on the critical line
被引:0
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作者:
A. Sankaranarayanan
论文数: 0引用数: 0
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机构:School of Mathematics,Tata Institute of Fundamental Research
A. Sankaranarayanan
机构:
[1] School of Mathematics,Tata Institute of Fundamental Research
来源:
Lithuanian Mathematical Journal
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2007年
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47卷
关键词:
higher moments of ;
-functions;
Voronoi type formulae;
Montgomery-Vaughan theorem;
exponent pairs;
zeta-function of an ideal class;
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摘要:
We study the sixth-power moments of certain L-functions belonging to a sub-class of the Selberg’s class on the critical line and, using this, we conclude an upper bound for the fourth-power moments of certain L-functions related to GL3 on the critical line. This is an analogue of the upper bound for the twelfth-power moment of the Riemann zeta-function on the critical line.
机构:
North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China
Chen, Guohua
He, Xiaoguang
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机构:
Sichuan Univ, Coll Math Sci, Chengdu 610016, Sichuan, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China