Sharp lower bounds for negative moments of quadratic twist of modular L-functions
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Abstract
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 , assuming a generalized form of the conjecture of S. Chowla on the non-vanishing of these L -values Mathematics Subject Classification (2010): 11M06
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