The binary Goldbach conjecture with primes in arithmetic progressions with large modulus

• Autorzy: Claus Bauer , Yonghui Wang
• Języki publikacji: EN

Abstrakty

EN

It is proved that for almost all prime numbers $k ≤ N^{1/4-ϵ}$, any fixed integer b₂, (b₂,k) = 1, and almost all integers b₁, 1 ≤ b₁ ≤ k, (b₁,k) = 1, almost all integers n satisfying n ≡ b₁ + b₂ (mod k) can be written as the sum of two primes p₁ and p₂ satisfying $p_{i} ≡ b_{i}(mod k)$, i = 1,2. For the proof of this result, new estimates for exponential sums over primes in arithmetic progressions are derived.

Kategorie tematyczne

• 11F32: Modular correspondences, etc.
• 11F25: Hecke-Petersson operators, differential operators (one variable)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 159
• Numer: 3
• Strony: 227-243

Daty

wydano

2013

Twórcy

autor

Claus Bauer

• Dolby Laboratories, Beijing 100020, P.R. China

autor

Yonghui Wang

• Department of Mathematics, Capital Normal University, Xi San Huan Beilu 105, Beijing 100048, P.R. China

Identyfikatory

DOI

10.4064/aa159-3-2