Roth--Waring--Goldbach

Published 12 Feb 2016 in math.NT and math.CO | (1602.04012v2)

Abstract: We use Green's transference principle to show that any subset of the $d$ th powers of primes with positive relative density contains nontrivial solutions to a translation-invariant linear equation in $d<sup>2+1$ or more variables, with explicit quantitative bounds.

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Sam Chow

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