Moments of quadratic twists of modular L-functions

2022/08/15 by Li, Xiannan · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2208.07343

Abstract

We prove an asymptotic for the second moment of quadratic twists of a modular L-function. This was previously known conditionally on GRH by the work of Soundararajan and Young.

Cited by

• Averaging quadratically twisted L-values and their derivatives
• Mean squares of quadratic twists of the Fourier coefficients of modular forms

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• Twisted second moment of modular L-functions to a fixed modulus
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• Non-vanishing of quadratic twists of modular L-functions of prime-related moduli