Effective Lower Bounds for L(1,{\chi}) via Eisenstein Series
Number Theory
2017-09-20 v2
Abstract
We give effective lower bounds for via Eisenstein series on . The proof uses the Maass-Selberg relation for truncated Eisenstein series and sieve theory in the form of the Brun-Titchmarsh inequality. The method follows closely the work of Sarnak in using Eisenstein series to find effective lower bounds for .
Keywords
Cite
@article{arxiv.1602.07256,
title = {Effective Lower Bounds for L(1,{\chi}) via Eisenstein Series},
author = {Peter Humphries},
journal= {arXiv preprint arXiv:1602.07256},
year = {2017}
}
Comments
17 pages. To appear in Pacific Journal of Mathematics