Diophantine inequality by unlike powers of primes

被引：3
|
作者：
Zhu, Li [1 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
RAMANUJAN JOURNAL | 2020年 / 51卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Prime; Davenport-Heilbronn method; Diophantine inequalities; 3; SQUARES; APPROXIMATION; VALUES; FORMS;
D O I：
10.1007/s11139-019-00152-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that lambda 1, horizontal ellipsis ,lambda 5 is irrational. Then for any real number eta and epsilon>0, the inequality |lambda 1p1+lambda 2p22+lambda 3p33+lambda 4p44+lambda 5p55+eta| < (max(1 <= j <= 5)p(j)(j))(-148+epsilon) has infinitely many solutions in prime variables p1, ... ,p5. This result constitutes an improvement on that of Mu.
引用
收藏
页码：307 / 318
页数：12
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