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
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