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arXiv · 1201.5682

Lower bounds for small fractional moments of Dirichlet $L$-functions

Vorrapan Chandee·Xiannan Li
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Abstract

We prove a lower bound of the correct order of magnitude in the conductor aspect for small rational moments of Drichlet $L$-functions. Such bounds require new techniques, which is visible from the relationship to non-vanishing results for $L(1/2, χ)$.

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Vorrapan Chandee, Xiannan Li. 2012-01-27. Lower bounds for small fractional moments of Dirichlet $L$-functions. https://arxiv.org/abs/1201.5682

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