Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2

Jie Wu (1)

1 IECN - Institut Élie Cartan de Nancy

For every even integer N, denote by D_{1,2}(N) the number of representations of N as a sum of a prime and an integer having at most two prime factors. In this paper, we give a new lower bound for D_{1,2}(N).

Mots clés: Goldbach's conjecture; sieve method

Domaines: Théorie des nombres [math.NT]

Jie Wu. Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2. 2007. ⟨hal-00174537⟩