四零点辅助函数在除X1X2X3X4外其余为非主特征条件下的估值

数学季刊 ›› 2006, Vol. 21 ›› Issue (2): 196-201.

四零点辅助函数在除X₁X₂X₃X₄外其余为非主特征条件下的估值

Department of Applied Mathematics,Tongji University, Shanghai 200092, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2005-12-20 出版日期:2006-06-30 发布日期:2023-12-05
作者简介:LI Yi-jun(1972-),male,native of Yanshi,Henan,engages in analytic number theory.
基金资助:
Supported by the National Natural Science Foundation of China(10171076)； Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)；

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

Department of Applied Mathematics,Tongji University, Shanghai 200092, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2005-12-20 Online:2006-06-30 Published:2023-12-05
About author:LI Yi-jun(1972-),male,native of Yanshi,Henan,engages in analytic number theory.
Supported by:
Supported by the National Natural Science Foundation of China(10171076)； Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)；

摘要/Abstract

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.

关键词: Dirichlet's character, L-function, four zeros, Goldbach's problem, Vinogradov's bound

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.

Key words: Dirichlet's character, L-function, four zeros, Goldbach's problem, Vinogradov's bound

中图分类号:

O156.4

李怡君. 四零点辅助函数在除X₁X₂X₃X₄外其余为非主特征条件下的估值[J]. 数学季刊, 2006, 21(2): 196-201.

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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四零点辅助函数在除X₁X₂X₃X₄外其余为非主特征条件下的估值

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

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