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arXiv · 2412.02080

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

Peng Gao
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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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Peng Gao. 2024-12-03. Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus. https://arxiv.org/abs/2412.02080

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