Diophantine Inequality by Unlike Powers of Primes
2022-03-14LiZHU
Li ZHU
1School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China.E-mail:shulunz@163.com
Abstract Suppose that λ1,··· ,λ5 are nonzero real numbers,not all of the same sign,satisfying that is irrational.Then for any given real number η and ε>0,the inequality
has infinitely many solutions in prime variables p1,··· ,p5.This result constitutes an improvement of the recent results.
Keywords Prime,Davenport-Heilbronn method,Diophantine inequalities
1 Introduction
2 Outline of the Method
3 Some Auxiliary Lemmas
4 The Minor Arc m
5 Proof of Theorem 1.1
杂志排行
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