Ces\`aro averages for Goldbach representations with summands in arithmetic progressions
Number Theory
2021-05-19 v1
Abstract
We consider weighted averages of the number of representations of an even integer as a sum of two prime numbers, where each summand lies in a given arithmetic progression modulo a common integer . Our result is uniform in a suitable range for .
Cite
@article{arxiv.1911.07220,
title = {Ces\`aro averages for Goldbach representations with summands in arithmetic progressions},
author = {Marco Cantarini and Alessandro Gambini and Alessandro Zaccagnini},
journal= {arXiv preprint arXiv:1911.07220},
year = {2021}
}