The first moment of quadratic Dirichlet L-functions
Number Theory
2013-03-27 v3
Abstract
We obtain an asymptotic formula for the smoothly weighted first moment of primitive quadratic Dirichlet L-functions at the central point, with an error term that is "square-root" of the main term. Our approach uses a recursive technique that feeds the result back into itself, successively improving the error term.
Cite
@article{arxiv.0804.4141,
title = {The first moment of quadratic Dirichlet L-functions},
author = {Matthew P. Young},
journal= {arXiv preprint arXiv:0804.4141},
year = {2013}
}
Comments
24 pages. v2: Fixed typos in the statements of Theorem 1.1 and Remark 2.2. v3: Improved notation and fixed typos