The first moment of L(12,χ) for real quadratic function fields
Andrade, JC; MacMillan, J
Date: 15 December 2020
Journal
Acta Arithmetica
Publisher
Instytut Matematyczny
Publisher DOI
Abstract
In this paper we use techniques first introduced by Florea to improve the asymptotic
formula for the first moment of the quadratic Dirichlet L-functions over the rational function field,
running over all monic, square-free polynomials of even degree at the central point. With some
extra technical difficulties that do not appear in ...
In this paper we use techniques first introduced by Florea to improve the asymptotic
formula for the first moment of the quadratic Dirichlet L-functions over the rational function field,
running over all monic, square-free polynomials of even degree at the central point. With some
extra technical difficulties that do not appear in Florea’s paper, we prove that there is an extra
main term of size gq
2g+2
3 , whilst bounding the error term by q
g
2
(1+ǫ)
.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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