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

By Jie Wu. 2007

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For every even integerN , denote byD(N) andD1,2(N) the number of representations of N as a sum of two primes and as a sum of a prime and an integer having at most two prime factors, respectively. In this paper, we give a new upper bound for D(N) and a new lower bound for D1,2(N), which improve the corresponding results of Chen. We also obtain similar results for the twin prime problem

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/3c3556f1196b7e0fcec87ebaaa896a1b65995dce