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

Source: [Nonvanishing of quadratic Dirichlet L-functions at s=1/2](<https://www.sota2.com/research/paper/68fa4e561e209131ce95b31c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:45:51.169Z

Authors: K. Soundararajan

Published: 1999-02-23T00:00:00.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/9902163>)

[PDF](<https://arxiv.org/pdf/math/9902163.pdf>)