On an Average Goldbach Representation Formula of Fujii
Number Theory
2023-06-09 v2
Abstract
Fujii obtained a formula for the average number of Goldbach representations with lower order terms expressed as a sum over the zeros of the Riemann zeta-function and a smaller error term. This assumed the Riemann Hypothesis. We obtain an unconditional version of this result, and obtain applications conditional on various conjectures on zeros of the Riemann zeta-function.
Keywords
Cite
@article{arxiv.2110.14250,
title = {On an Average Goldbach Representation Formula of Fujii},
author = {D. A. Goldston and Ade Irma Suriajaya},
journal= {arXiv preprint arXiv:2110.14250},
year = {2023}
}
Comments
22 pages, to appear in Nagoya Math. J