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

DOI10.4064/aa114-3-2zbMath1049.11107arXiv0705.1652OpenAlexW1998455766WikidataQ29030576 ScholiaQ29030576MaRDI QIDQ4811277

Jie Wu

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1652

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Distribution of primes (11N05) Sieves (11N35)

Related Items (26)

DENSITY OF TWO SQUARES OF PRIMES AND POWERS OF 2 ⋮ The distribution of prime pairs differing by 2 ⋮ On sum of one prime, two squares of primes and powers of 2 ⋮ Goldbach's problem with primes in arithmetic progressions and in short intervals ⋮ An effective version of the Bombieri-Vinogradov theorem, and applications to Chen's theorem and to sums of primes and powers of two ⋮ Triples of almost primes ⋮ Two results on powers of 2 in Waring-Goldbach problem ⋮ On unlike powers of primes and powers of 2 ⋮ The prime-pair conjectures of Hardy and Littlewood ⋮ Primitive Root Bias for Twin Primes ⋮ ON PAIRS OF GOLDBACH–LINNIK EQUATIONS ⋮ Limit points of normalized prime gaps ⋮ Prime numbers in logarithmic intervals ⋮ On Romanov's constant ⋮ ON PAIRS OF LINEAR EQUATIONS IN FOUR PRIME VARIABLES AND POWERS OF TWO ⋮ On Chen's theorem. II. ⋮ On Bombieri's asymptotic sieve ⋮ The twin prime conjecture ⋮ Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers ⋮ Integers represented as the sum of one prime, two squares of primes and powers of 2 ⋮ Chen's theorem with small primes ⋮ The sum of a prime and a Fibonacci number ⋮ Prime pairs and the zeta function ⋮ A remark on Chen's theorem. II. ⋮ ON PAIRS OF ONE PRIME, TWO PRIME SQUARES AND POWERS OF 2 ⋮ Linnik's approximation to Goldbach's conjecture, and other problems

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