no. 1
On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus
Halupczok, Karin1
1 Albert-Ludwigs-Universität Freiburg Eckerstr. 1 D-79104 Freiburg, Allemagne
Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 1, pp. 203-213

For ε>0 and any sufficiently large odd n we show that for almost all k≤R:=n 1/5-ε there exists a representation n=p 1 +p 2 +p 3 with primes p i ≡b i mod k for almost all admissible triplets b 1 ,b 2 ,b 3 of reduced residues mod k.

Pour ε>0 et n impair suffisamment grand, nous montrons que, pour presque tout k≤R:=n 1/5-ε , il existe une représentation n=p 1 +p 2 +p 3 avec des nombres premiers p i ≡b i modulo k pour presque tout triplet admissible b 1 ,b 2 ,b 3 de résidus modulo k.

DOI : 10.5802/jtnb.666

Halupczok, Karin 1

1 Albert-Ludwigs-Universität Freiburg Eckerstr. 1 D-79104 Freiburg, Allemagne 
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Halupczok, Karin. On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 1, pp. 203-213. doi: 10.5802/jtnb.666

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