Asymptotics for sums of functions of primes
Number Theory
2020-08-27 v2
Abstract
This work gives a general approach to the determination of the asymptotic behavior of the sums of functions of primes based on the distribution of primes. It refines the estimate of the remainder term of the asymptotic expansion of the sums of functions of primes. Also, the necessary and sufficient conditions for the existence of these asymptotics are proved in the paper.
Keywords
Cite
@article{arxiv.2008.11100,
title = {Asymptotics for sums of functions of primes},
author = {Victor Volfson},
journal= {arXiv preprint arXiv:2008.11100},
year = {2020}
}
Comments
16 pages