Nonvanishing of Dirichlet L-functions

Abstract

We show that for at least 3/8 of the primitive Dirichlet characters $\chi$ of large prime modulus, the central value $L(1/2,\chi )$ does not vanish.

arXiv comment9 pages

References in corpus (1)

• A study in sums of products

Cited by in corpus (3)

• Average non-vanishing of Dirichlet $L$-functions at the central point
• Twisted first moment of quadratic and quadratic twist $L$-functions
• Moments and One level density of certain unitary families of Hecke {$L$}-functions