REMARK ON THE MEAN VALUE OF L(½, χ) IN THE HYPERELLIPTIC ENSEMBLE

Title & Authors
REMARK ON THE MEAN VALUE OF L(½, χ) IN THE HYPERELLIPTIC ENSEMBLE
Jung, Hwanyup;

Abstract
Let $\mathbb{A} Keywords asymptotic mean value;quadratic Dirichlet L-functions;function fields; Language English Cited by References 1. J. C. Andrade and J. P. Keating, The mean value of L($\frac{1}{2}$,${\chi}$) in the hyperelliptic ensemble. J. Number Theory 132 (2012), no. 12, 2793-2816. 2. H. Jung, Note on the mean value of L($\frac{1}{2}$,${\chi}$) in the hyperelliptic ensemble. To appear in Int. J. Number Theory. 3. M. Jutila, On the mean value of L($\frac{1}{2}$,${\chi}\$) for real characters. Analysis 1 (1981), no. 2, 149-161.

4.
J. P. Keating and N. C. Snaith, Random matrix theory and L-functions at s = 1/2. Comm. Math. Phys. 214 (2000), no. 1, 91-110.