Lower bounds for negative moments of quadratic twist of modular L-functions

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发表日期：

2024年2月24日

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Huaqing Bian,
Xiaofei Yan,
Ruiyang Yue

摘要

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