The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
type: Item
instance of: scholarly article
title: The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
zbMATH Open document ID: 1278.11082
published in: Journal of Number Theory
publication date: 2012-10-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1208.1131
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11M50
zbMATH DE Number: 6097263
zbMATH Keywords: moments of quadratic Dirichlet L-functions
zbMATH Keywords: finite fields
zbMATH Keywords: function fields
zbMATH Keywords: random matrix theory
zbMATH Keywords: hyperelliptic curves
Wikidata QID: Q57937570
author: J. C. Andrade
author: J. P. Keating
MaRDI profile type: Publication
OpenAlex ID: W1975228673
arXiv ID: 1208.1131
cites work: Statistics for Traces of Cyclic Trigonal Curves over Finite Fields
cites work: Q3057876
cites work: Integral moments of L-functions
cites work: Lower order terms in the full moment conjecture for the Riemann zeta function
cites work: Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
cites work: Average values of L-series in function fields.
cites work: On the Mean Value of L(1/2, χ ) FW Real Characters
cites work: Q4226082
cites work: Zeroes of zeta functions and symmetry
cites work: Random matrix theory and \(\zeta(1/2+it)\).
cites work: Random matrix theory and \(L\)-functions at \(s=1/2\).
cites work: The fluctuations in the number of points on a hyperelliptic curve over a finite field
cites work: Q2776773
cites work: Traces of high powers of the Frobenius class in the hyperelliptic ensemble
cites work: Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
cites work: Q3735790
cites work: Q5794285
DOI: 10.1016/J.JNT.2012.05.017
description: scientific article; zbMATH DE number 6097263