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Lower bounds for negative moments of quadratic Dirichlet $L$-functions

Published 14 Mar 2022 in math.NT | (2203.06845v1)

Abstract: We establish lower bounds for the $2k$-th moment of families of quadratic Dirichlet $L$-functions at the central point for all real $k<0$, assuming a conjecture of S. Chowla on the non-vanishing of these $L$-values.

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