Zhang, Feng Zhen et Wang, Tian Ze, The Ternary Goldbach Problem with Primes in Arithmetic Progressions, Acta mathematica Sinica. English series (Print) , 17(4), 2000, pp. 679-696
In this paper, we give an explicit numerical upper bound for the moduli of arithmetic progressions, in which the ternary Goldbach problem is solvable. Our result implies a quantitative upper bound for the Linnik constant.