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Bounds for moments of Dirichlet $L$-functions to a fixed modulus (2103.00149v1)
Published 27 Feb 2021 in math.NT
Abstract: We study the $2k$-th moment of central values of the family of Dirichlet $L$-functions to a fixed prime modulus. We establish sharp lower bounds for all real $k \geq 0$ and sharp upper bounds for $k$ in the range $0 \leq k \leq 1$.
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