The ternary Goldbach-Vinogradov theorem with almost equal Piatetski-Shapiro primes

TL;DR

This paper proves that sufficiently large odd numbers can be expressed as the sum of three primes that are nearly equal and of Piatetski-Shapiro type, extending Goldbach-Vinogradov results to this special prime subset.

Contribution

The paper establishes a new theorem showing that large odd numbers can be represented as sums of three almost equal Piatetski-Shapiro primes, a novel extension of classical additive prime results.

Findings

Every large odd number can be expressed as the sum of three almost equal Piatetski-Shapiro primes.

The result extends Goldbach-Vinogradov theorem to a special class of primes.

The proof involves advanced techniques in analytic number theory.

Abstract

In this paper, we proved a theorem that every large enough odd number can be represented as the sum of three almost equal Piatetski-Shapiro primes.