典型文献
An asymptotic formula for the number of prime solutions for multivariate linear equations
文献摘要：
In this paper,we study the multivariate linear equations with arbitrary positive integral coefficients.Under the Generalized Riemann Hypothesis,we obtained the asymptotic formula for the linear equations with more than five prime variables.This asymptotic formula is composed of three parts,that is,the first main term,the explicit second main term and the error term.Among them,the first main term is similar with the former one,the explicit second main term is relative to the non-trivial zeros of Dirichlet L-functions,and our error term improves the former one.
文献关键词：
中图分类号：
作者姓名：
Yafang KONG
作者机构：
School of Mathematics and Statistics,Chongqing Jiaotong University,Chongqing 400074,China
文献出处：
引用格式：
[1]Yafang KONG-.An asymptotic formula for the number of prime solutions for multivariate linear equations)[J].中国数学前沿,2022(06):1001-1013
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An,asymptotic,formula,number,prime,solutions,multivariate,linear,equations,In,this,paper,we,study,arbitrary,positive,integral,coefficients,Under,Generalized,Riemann,Hypothesis,obtained,more,than,five,variables,This,composed,three,parts,that,first,main,term,explicit,second,error,Among,them,similar,former,one,relative,trivial,zeros,Dirichlet,functions,our,improves
AB值：
0.557056
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