Chen's double sieve, Goldbach's conjecture and the twin prime problem

TL;DR

This paper advances the understanding of Chen's double sieve, providing improved constants that contribute to progress on Goldbach's conjecture and the twin prime problem.

Contribution

It offers a more comprehensive treatment of Chen's double sieve and refines key constants related to Goldbach's conjecture and twin primes.

Findings

Improved constants in Chen's double sieve

Enhanced bounds for Goldbach's conjecture

Refined estimates for twin prime problem

Abstract

We give a more comrehensive treatment of Chen's double sieve and improve related constants in Goldbach's conjecture and the twin prime problem.