Explicit Improvements to the Burgess Bound Via P\'olya-Vinogradov
Number Theory
2020-07-17 v1
Abstract
We make explicit a theorem of Fromm and Goldmakher [arXiv:1706.03002], which states that one can improve Burgess' bound for short character sums simply by improving the leading constant in the P\'{o}lya-Vinogradov inequality. Towards achieving this, we establish explicit versions of several estimates related to the mean values of real multiplicative functions and the Dickman function.
Keywords
Cite
@article{arxiv.2007.08119,
title = {Explicit Improvements to the Burgess Bound Via P\'olya-Vinogradov},
author = {Matteo Bordignon and Forrest Francis},
journal= {arXiv preprint arXiv:2007.08119},
year = {2020}
}
Comments
18 pages, comments welcome