关于两个素数和一个素数k次幂的丢番图不等式  

A Diophantine Inequality with Two Primes and One k-th Power of a Prime

作　　者：朱立 ZHU Li(School of Mathematical Science,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学数学科学学院

出　　处：《数学年刊（A辑）》2019年第4期365-376,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11771333)的资助

摘　　要：令■设λ1,λ2,λ3是不全同号的非零实数,且满足λ1/λ2为无理数,则对于任意实数η和ε> 0,不等式■有无穷多组素数解p1,p2,p3.该结果改进了Gambini,Languasco和Zaccagnini的结果.Let ■Suppose that λ1,λ2 and λ3 axe non-zero real numbers,not all of the same sign,satisfying that λ1/λ2 is irrational.Then for any real number η and ε> 0,the inequality ■has infinitely many solutions in prime variables p1,p2,p3.This result constitutes an improvement on that of Gambini,Languasco and Zaccagnini.

关 键 词：素数 Davenport-Heilbronn方法 丢番图不等式 

分 类 号：O156.4[理学—数学]