Note on the mean value of L(1/2, χ) in the hyperelliptic ensemble

JOURNAL OF NUMBER THEORY

卷:133

Article

Jung, Hwanyup

关键词: Moments of quadratic Dirichlet L-functions;    Finite fields;    Function fields;   

DOI  :  10.1016/j.jnt.2013.02.005

来源: Elsevier

【 摘 要 】

In this paper we obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions L(s, chi(D)) over the rational function field at the central point s = 1/2, where D runs over all monic square-free polynomials of even degree. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free