Non-vanishing of quadratic twists of modular L-functions of prime-related moduli

2022/05/04 by Gao, Peng, Zhao, Liangyi
#11F67 #11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2205.01824

Abstract

In this paper, we study central values of the family of quadratic twists of modular L-functions of moduli 8p, with p ranging over odd primes. Assuming the truth of the generalized Riemann hypothesis, we establish a positive proportion non-vanishing result for the corresponding L-values.

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