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Moments of Dirichlet L-functions to a fixed modulus over function fields

Peng Gao,Liangyi Zhao

INTERNATIONAL JOURNAL OF NUMBER THEORY（2024）

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Abstract
In this paper, we establish the expected order of magnitude of the kth-moment of central values of the family of Dirichlet L-functions to a fixed prime modulus over function fields for all real k >= 0.
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Key words
Dirichlet L-functions,function fields,lower bounds,moments,upper bounds
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