The Tail of the Singular Series for the Prime Pair and Goldbach Problems

D. A. Goldston; Julian Ziegler Hunts; Timothy Ngotiaoco

The Tail of the Singular Series for the Prime Pair and Goldbach Problems

Number Theory 2014-09-09 v1

Authors: D. A. Goldston , Julian Ziegler Hunts , Timothy Ngotiaoco

Abstract

We obtain an asymptotic formula for a weighted sum of the square of the tail of the singular series for the Goldbach and prime-pair problems.

Keywords

singular series Goldbach problem prime pair problem asymptotic formula weighted sum analytic number theory

Cite

@article{arxiv.1409.2151,
  title  = {The Tail of the Singular Series for the Prime Pair and Goldbach Problems},
  author = {D. A. Goldston and Julian Ziegler Hunts and Timothy Ngotiaoco},
  journal= {arXiv preprint arXiv:1409.2151},
  year   = {2014}
}