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Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields (2406.19606v2)
Published 28 Jun 2024 in math.NT
Abstract: In this paper, we establish sharp upper bounds on shifted moments of the family of Dirichlet $L$-functions to a fixed modulus over function fields. We apply the result to obtain upper bounds on moments of Dirichlet character sums over function fields.
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