A density theorem for prime squares

2025/02/27 by Zhao, Genheng · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2502.20322

Abstract

Let s≥ 8 be an integer and P be a set of primes with relative lower density greater than √1-min\s,16\/32. We prove that every sufficiently large integer n≡ s(\rm mod24) can be represented by a sum of s squares of primes in P.

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• On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem

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