The error term in the Ces\`{a}ro mean of the prime pair singular series
Number Theory
2021-10-14 v1
Abstract
We show that the error term in the asymptotic formula for the Ces{\`a}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too small and oscillates.
Keywords
Cite
@article{arxiv.2007.14616,
title = {The error term in the Ces\`{a}ro mean of the prime pair singular series},
author = {D. A. Goldston and Ade Irma Suriajaya},
journal= {arXiv preprint arXiv:2007.14616},
year = {2021}
}
Comments
9 pages