Roth--Waring--Goldbach
Number Theory
2021-10-12 v2 Combinatorics
Abstract
We use Green's transference principle to show that any subset of the th powers of primes with positive relative density contains nontrivial solutions to a translation-invariant linear equation in or more variables, with explicit quantitative bounds.
Cite
@article{arxiv.1602.04012,
title = {Roth--Waring--Goldbach},
author = {Sam Chow},
journal= {arXiv preprint arXiv:1602.04012},
year = {2021}
}
Comments
26 pages, post-ref version