Average orders of Goldbach Estimates in Arithmetic Progressions
Number Theory
2025-05-02 v2
Abstract
We obtain asymptotic results on the average numbers of Goldbach representations of an interger as the sum of two primes in different arithmetic progressions. We also prove an omega-result showing that the asymptotic result is essentially the best possible.
Cite
@article{arxiv.2407.18266,
title = {Average orders of Goldbach Estimates in Arithmetic Progressions},
author = {Thi Thu Nguyen},
journal= {arXiv preprint arXiv:2407.18266},
year = {2025}
}