Please use this identifier to cite or link to this item:
https://research.matf.bg.ac.rs/handle/123456789/30
Title: | The Mixed Second Moment of Quadratic Dirichlet L-Functions over Function Fields |
Authors: | Đanković, Goran Đokić, Dragan |
Affiliations: | Algebra and Mathematical Logic Algebra and Mathematical Logic |
Keywords: | derivatives of L-functions;moments of L-functions;quadratic Dirichlet L-functions;rational function fields |
Issue Date: | 2021 |
Journal: | Rocky Mountain Journal of Mathematics |
Abstract: | We investigate the mixed second moment involving the second derivative at the central point of a family of quadratic Dirichlet L-functions over Fq .t/, associated to the hyperelliptic curves of genus g. We compute the full degree five polynomial in the asymptotic expansion of the mixed second moment when the cardinality q of the finite field is fixed and the genus g tends to infinity. This is a partial analogue of classical Ingham's result about the Riemann zeta function. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/30 |
ISSN: | 00357596 |
DOI: | 10.1216/rmj.2021.51.2003 |
Appears in Collections: | Research outputs |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.