| An Additive Problem with Primes in Arithmetic Progressions |
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| 引用本文： | ZhenFengZHANG. An Additive Problem with Primes in Arithmetic Progressions[J]. 数学学报(英文版), 2005, 21(1): 155-168. DOI: 10.1007/s10114-004-0322-6 |
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| 作者姓名： | ZhenFengZHANG |
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| 作者单位： | StateKeyLaboratoryofInformationSecurity,InstituteofSoftware,ChineseAcademyofSciences,Beijing100080,P.R.China |
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| 摘 要： | In this paper, we extend a classical result of Hua to arithmetic progressions with large moduli. The result implies the Linnik Theorem on the least prime in an arithmetic progression.
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| 关 键 词： | 可加问题 素数 算术级数 循环法 |
| 收稿时间： | 2002-02-04 |
An Additive Problem with Primes in Arithmetic Progressions |
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| Zhen Feng Zhang. An Additive Problem with Primes in Arithmetic Progressions[J]. Acta Mathematica Sinica(English Series), 2005, 21(1): 155-168. DOI: 10.1007/s10114-004-0322-6 |
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| Authors: | Zhen Feng Zhang |
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| Affiliation: | (1) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| Abstract: | In this paper, we extend a classical result of Hua to arithmetic progressions with large moduli. The result implies the Linnik Theorem on the least prime in an arithmetic progression. Project supported by National Natural Science Foundation (No. 10171027, 60373039) of China and Research Foundation (No. XK01071) of Henan University |
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| Keywords: | Additive problem Prime Arithmetic progression Circle method |
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