On the frequency of vanishing of quadratic twists of modular L-functions

Abstract

We present theoretical and numerical evidence for a random matrix theoretic approach to a conjecture about vanishings of quadratic twists of certain L-functions

11 pages, 3 figures

References in corpus (1)

• Mean values of L-functions and symmetry

Cited by in corpus (16)

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• Vanishing of Hyperelliptic L-functions at the Central Point
• Rank distribution in a family of cubic twists
• Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions
• Vanishing of L-functions of elliptic curves over number fields
• Discretisation for odd quadratic twists
• Modeling families of L-functions
• Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms
• A conditional determination of the average rank of elliptic curves
• Moments of the critical values of families of elliptic curves, with applications
• Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices
• Lower Order Terms for the One-Level Density of Elliptic Curve L-Functions
• On the orthogonal symmetry of $L$-functions of a family of Hecke Grössencharacters