On the ternary Goldbach problem with primes in arithmetic progressions of a common module

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137691For A,epsilon>0 and any sufficiently large odd n we show that for almost all k up to n^{1/5-epsilon} there exists a representation n=p1+p2+p3 with primes in residue classes b1,b2,b3 mod k for almost all admissible triplets b1,b2,b3 of reduced residues mod k.12 pages, given talk at conference 25th Journées Arithmétiques 2007/Edinburgh, version with added RemarkNumber Theory11P32, 11P55On the ternary Goldbach problem with primes in arithmetic progressions of a common moduletext