The Ternary Goldbach Problem with Primes in Arithmetic Progressions |
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| Authors: | Zhen Feng Zhang Tian Ze Wang |
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| Institution: | (1) State Key Laboratory of Information Security, Graduate School, Chinese Acacemy of Sciences, Beijing 100039, P. R. China, CN;(2) Department of Mathematics, Henan University, Kaifeng 475001, P. R. China, E-mail: zfzhang@math08.ac.cn, CN;(3) Department of Mathematics, Henan University, Kaifeng 475001, P. R. China, E-mail: wangtz@mail.henu.edu.cn, CN |
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| Abstract: | 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.
Received November 4, 1998, Accepted March 6, 2001 |
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| Keywords: | Ternary Goldbach problem Prime Arithmetic progression Circle method |
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