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Evaluation of the Assistant Function with Four Zeros and all Nonprincipal Characters but X1X2X3X4

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【Author】 LI Yi-jun (Department of Applied Mathematics,Tongji University, Shanghai 200092, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China )

【摘要】 <正>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.更多还原

【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.更多还原

【关键词】 Dirichlet’s character； L-function； four zeros； Goldbach’s problem； Vinogradov’s bound；
【Key words】 Dirichlet’s character； L-function； four zeros； Goldbach’s problem； Vinogradov’s bound；

【基金】 Supported by the National Natural Science Foundation of China(10171076);Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)

【文献出处】数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2006年02期

【分类号】O156.4
【下载频次】18

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