| Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but X1X2X3X4 |
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| 作者姓名： | LI Yi-jun |
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| 作者单位： | Department of Applied Mathematics，Tongji University，Shanghai 200092，China; College of Mathematics and Information Science，Henan University，Kaifeng 475001，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10171076)，Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027) |
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| 摘 要： | To obtain a better Vinogradov's bound, assistant function with two or three zeros and all Dirichlet's characters has been evaluated. Assistant function g(X1,X2,X3,X4)with four zeros and all nonprincipal characters but X1X2X3X4 is constructed and evaluated in the paper. And the constant obtained is 8.395 511 841 994.
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| 关 键 词： | L-函数 Goldbach问题 辅助函数 解析理论 |
Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but x1x2x3x4 |
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| LI Yi-jun.Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but X1X2X3X4[J].Chinese Quarterly Journal of Mathematics,2006,21(2):196-201. |
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| Authors: | LI Yi-jun |
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| Institution: | [1]Department of Applied Mathematics, Tongji University, Shanghai 200092, China [2]College of Mathematics and Information Science, Henan University, Kaifeng 475001, China |
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| Abstract: | To obtain a better Vinogradov's bound, assistant function with two or three zeros and all Dirichlet's characters has been evaluated. Assistant function g(X1,X2,X3,X4)with four zeros and all nonprincipal characters but X1X2X3X4 is constructed and evaluated in the paper. And the constant obtained is 8.395 511 841 994. |
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| Keywords: | Dirichlet's character L-function four zeros Goldbach's problem Vinogradov's bound |
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