Goldbach Representations with several primes
Number Theory
2024-09-23 v1
Abstract
We study an asymptotic formula for average orders of Goldbach representations of an integer as the sum of k primes. We extend the existing result for k=2 to a general k, for which we obtain a better error term. Moreover, we prove an equivalence between the Riemann Hypothesis and a good average order in this case.
Cite
@article{arxiv.2409.13368,
title = {Goldbach Representations with several primes},
author = {Thi Thu Nguyen},
journal= {arXiv preprint arXiv:2409.13368},
year = {2024}
}