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Bounds for moments of modular $L$-functions to a fixed modulus (2110.10830v1)
Published 21 Oct 2021 in math.NT
Abstract: We study the $2k$-th moment of the family of twisted modular $L$-functions to a fixed prime power modulus at the central values. 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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