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

作者：Jung Hwanyup^*

来源：Journal of Number Theory, 2013, 133(8): 2706-2714.

DOI：10.1016/j.jnt.2013.02.005

• Moments of quadratic Dirichlet L-functions
• Finite fields
• Function fields

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.

• 出版日期2013-8