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

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

2007-07-27

arxiv.org/abs/0707.4101v2

Mathematics

Number Theory

12 pages, given talk at conference 25th Journ\'ees Arithm\'etiques 2007/Edinburgh, version with added Remark

Scientific paper

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.

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