A density version of Waring-Goldbach problem
Number Theory
2023-12-19 v2
Abstract
In this paper, we study a density version of the Waring-Goldbach problem. Suppose that A is a subset of the primes, and the lower density of A in the primes is larger than 1-1/2k. We prove that every sufficiently large natural number n satisfying the necessary congruence condition can be expressed as a sum of s terms of the k-th powers of primes from set A, where s is a positive integer dependent on k.
Cite
@article{arxiv.2308.06286,
title = {A density version of Waring-Goldbach problem},
author = {Meng Gao},
journal= {arXiv preprint arXiv:2308.06286},
year = {2023}
}
Comments
Correction of the previous version