English

A note on an average additive problem with prime numbers

Number Theory 2020-12-08 v1

Abstract

We continue investigations on the average number of representations of a large positive integer as a sum of given powers of prime numbers. The average is taken over a short interval, whose admissible length depends on whether or not we assume the Riemann Hypothesis.

Keywords

Cite

@article{arxiv.1901.04481,
  title  = {A note on an average additive problem with prime numbers},
  author = {Marco Cantarini and Alessandro Gambini and Alessandro Zaccagnini},
  journal= {arXiv preprint arXiv:1901.04481},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1810.03020

R2 v1 2026-06-23T07:11:29.962Z