Moments of Dirichlet $L$-functions to a fixed modulus over function fields (2203.14458v3)

Published 28 Mar 2022 in math.NT

Abstract: In this paper, we establish the expected order of magnitude of the $k$th-moment of central values of the family of Dirichlet $L$-functions to a fixed prime modulus over function fields for all real $k \geq 0$.

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