English

Nonvanishing of quadratic Dirichlet L-functions at s=1/2

Number Theory 2009-09-25 v2

Abstract

We show that for a positive proportion of fundamental discriminants d, L(1/2,chi_d) != 0. Here chi_d is the primitive quadratic Dirichlet character of conductor d.

Keywords

Cite

@article{arxiv.math/9902163,
  title  = {Nonvanishing of quadratic Dirichlet L-functions at s=1/2},
  author = {K. Soundararajan},
  journal= {arXiv preprint arXiv:math/9902163},
  year   = {2009}
}

Comments

42 pages, published version