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Mean-square estimate of automorphic L-functions.

Authors :
Yao, Weili
Source :
Frontiers of Mathematics in China. Feb2020, Vol. 15 Issue 1, p205-213. 9p.
Publication Year :
2020

Abstract

Let f be a holomorphic Hecke cusp form with even integral weight k ⩾ 2 for the full modular group, and let χ be a primitive Dirichlet character modulo q. Let Lf (s, χ) be the automorphic L-function attached to f and χ. We study the mean-square estimate of Lf (s, χ) and establish an asymptotic formula. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*L-functions
*MODULAR groups
*ESTIMATES

Details

Language :
English
ISSN :
16733452
Volume :
15
Issue :
1
Database :
Academic Search Index
Journal :
Frontiers of Mathematics in China
Publication Type :
Academic Journal
Accession number :
142163979
Full Text :
https://doi.org/10.1007/s11464-020-0817-1
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