On the ternary Goldbach problem with primes in arithmetic progressions of a common module
Number Theory
2007-09-12 v2
Abstract
For 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.
Keywords
Cite
@article{arxiv.0707.4101,
title = {On the ternary Goldbach problem with primes in arithmetic progressions of a common module},
author = {Karin Halupczok},
journal= {arXiv preprint arXiv:0707.4101},
year = {2007}
}
Comments
12 pages, given talk at conference 25th Journ\'ees Arithm\'etiques 2007/Edinburgh, version with added Remark