A Brun-Titchmarsh inequality for weighted sums over prime numbers
Number Theory
2015-11-09 v2
Abstract
We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.
Keywords
Cite
@article{arxiv.1410.7561,
title = {A Brun-Titchmarsh inequality for weighted sums over prime numbers},
author = {Jan Büthe},
journal= {arXiv preprint arXiv:1410.7561},
year = {2015}
}
Comments
11 pages, to appear in Acta Arithmetica