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Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus

Published 3 Dec 2024 in math.NT | (2412.02080v1)

Abstract: We establish lower bounds for the $2k$-th moment of central values of the family of primitive Dirichlet $L$-functions to a fixed prime modulus for all real $k<0$, assuming the non-vanishing of these $L$-values.

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Authors (1)

  1. Peng Gao 

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