The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial
Number Theory
2018-08-09 v1
Abstract
We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to . This forms another application of our work in developing an asymptotic large sieve.
Cite
@article{arxiv.1808.02879,
title = {The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial},
author = {Brian Conrey and Henryk Iwaniec and Kannan Soundararajan},
journal= {arXiv preprint arXiv:1808.02879},
year = {2018}
}
Comments
28 pages