Mean values with cubic characters
Number Theory
2013-03-27 v4
Abstract
We investigate various mean value problems involving order three primitive Dirichlet characters. In particular, we obtain an asymptotic formula for the first moment of central values of the Dirichlet L-functions associated to this family, with a power saving in the error term. We also obtain a large-sieve type result for order three (and six) Dirichlet characters.
Keywords
Cite
@article{arxiv.0804.2233,
title = {Mean values with cubic characters},
author = {Stephan Baier and Matthew P. Young},
journal= {arXiv preprint arXiv:0804.2233},
year = {2013}
}
Comments
22 pages; greatly shortened, simplified and corrected version