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The mixed second moment of prime quadratic Dirichlet $L$-functions over function fields

Published 2 Dec 2024 in math.NT | (2412.01462v1)

Abstract: We compute an asymptotic formula for the mixed second moment of the $\mu$-th and $\nu$-th derivatives of quadratic Dirichlet $L$-functions over monic, irreducible polynomials in the function field setting.

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