Density ternary Goldbach for primes in a fixed residue class
Abstract
We prove that if A is a subset of those primes which are congruent to 1 ( mod 3 ) such that the relative density of A in this residue class is larger than 1 2 , then every sufficiently large odd integer n which satisfies n ≡ 0 ( mod 3 ) can be written as a sum of three primes from A . Moreover the threshold of 1 2 for the relative density is best possible.
Fields of Study & Subjects
Finite Group Theory Research
Analytic Number Theory Research
Coding theory and cryptography
Publication details
- Journal / source
- Journal de Théorie des Nombres de Bordeaux
- Volume
- 38
- Issue
- 2
- Pages
- 451–467
- Publication date
- 16 September 2026
- Language
- EN