Research Article
Sharp lower bounds for negative moments of quadratic twist of modular L-functions
https://doi.org/10.21203/rs.3.rs-3319619/v1
This work is licensed under a CC BY 4.0 License
published 24 Feb, 2024
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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
lower bounds
negative moments
automorphic L-functions
No competing interests reported.
published 24 Feb, 2024
Editorial decision: Major revision
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You are reading this latest preprint version