The Ternary Goldbach Problem with Primes in Arithmetic Progressions

作     者：Zhen Feng ZHANG Tian Ze WANG State Key Laboratory of Information Security, Graduate School, Chinese Academy of Sciences, Beijing 100039, P. R. China Depariment of Mathematics, Henan University, Kaifeng 475001, P. R. China Department of Mathematics, Henan University, Kaifeng 475001, P. R. China 

作者机构：State Key Laboratory of Information Security Graduate School Chinese Acacemy of Sciences Beijing 100039 P. R. China Department of Mathematics Henan University Kaifeng 475001 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2001年第17卷第4期

页      面：679-696页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported partially by NNSF of China NSF of Henan Province 

主　　题：Ternary Goldbach problem Prime Arithmetic progression Circle method 

摘      要：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.