曲阜师范大学学报（自然科学版）2008，Vol.34Issue(1)：6-10,5.
一个算术数列中素变数丢番图逼近
One Diophantine Approximation by Prime Variables in Arithmetic Progressions
摘要
Abstract
In this paper,it is shown that if λ1,λ2,λ3 are nQn-zero real numbers,not.all of the same sign,ηis real,λ1/λ2 is irrational,h is a given positive integer,l1,l2,l3 are integers,and with Generalized Rienlann Hypothesis(GRH)assumed,there are infinitely many ordered triples of primes Pl,P2,P3(pj≡lj(mod h),j=1,2,3)such that |λ1p1+λ2p2+λ3p3+η|<(maxpj)-1/4(log max pj)4.关键词
算术数列/素数/丢番图逼近/圆法Key words
arithmetic progression/prime/Diophantine approximation/circle method分类
数理科学引用本文复制引用
李伟平,龚克..一个算术数列中素变数丢番图逼近[J].曲阜师范大学学报（自然科学版）,2008,34(1):6-10,5.基金项目
The National Natural Science Foundation of China(10671056). （10671056）
