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

2000/12/07 by JB Conrey, J. Brian Conrey, Conrey, J. Brian +9 · 4 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #Coding theory and cryptography #math.NT

paper · pdf · doi:10.48550/arxiv.math/0012043

11 pages, 3 figures

arxiv created 2000/12/07 · arxiv updated 2009/11/30

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

Citations

• Modular Elliptic Curves and Fermat's Last Theorem
• On Modular Forms of Half Integral Weight

Cited by

• Vanishing of L-functions of elliptic curves over number fields
• Discretisation for odd quadratic twists
• Modeling families of L-functions
• Rank distribution in a family of cubic twists

Related

• Non-vanishing of quadratic twists of modular L-functions of prime-related moduli
• Moments of quadratic twists of modular L-functions
• Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions
• Moment of Derivatives of Quadratic Twists of Modular L-Functions
• The first moment of quadratic twists of modular L-functions