四个素数的平方及2的若干次幂和丢番图逼近

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 166-174.

四个素数的平方及2的若干次幂和丢番图逼近

1. Basic Deparment, Air Defence Forces Command Academy 2. Collie of Mathematics and Information Science, Henan University

收稿日期:2004-12-01 出版日期:2007-06-30 发布日期:2023-11-01
作者简介: LI Wei-ping(1972-), male, native of Fugou, Henan, a lecturer of Air Defence Forces Command Academy, Ph.D., engages in analytic number theory.
基金资助:
Supported by the National Natural Science Foundation of China(10171076); Supported by the Scientific and Tochnical Committee Foundation of Shanghai(03JC14027)

Diophantine Approximation with Four Squares of Primes and Powers of Two

1. Basic Deparment, Air Defence Forces Command Academy 2. Collie of Mathematics and Information Science, Henan University

Received:2004-12-01 Online:2007-06-30 Published:2023-11-01
About author: LI Wei-ping(1972-), male, native of Fugou, Henan, a lecturer of Air Defence Forces Command Academy, Ph.D., engages in analytic number theory.
Supported by:
Supported by the National Natural Science Foundation of China(10171076); Supported by the Scientific and Tochnical Committee Foundation of Shanghai(03JC14027)

摘要/Abstract

摘要： Under certain condition, the inequality |λ₁p₁²+λ₂p₂²+λ₃p₃²+λ₄p₄²+μ₁2^x1+…+μ_s2^xs+γ|＜η has infinitely many solutions in primes p₁,p₂,p₃,p₄ and positive integers x₁,…,x_s.

关键词: prime variables, diophantine inequalities, application of the Hardy-Littlewood
method

Abstract: Under certain condition, the inequality |λ₁p₁²+λ₂p₂²+λ₃p₃²+λ₄p₄²+μ₁2^x1+…+μ_s2^xs+γ|＜η has infinitely many solutions in primes p₁,p₂,p₃,p₄ and positive integers x₁,…,x_s.

Key words: prime variables, diophantine inequalities, application of the Hardy-Littlewood
method

中图分类号:

O156.4

李伟平, 王天泽. 四个素数的平方及2的若干次幂和丢番图逼近[J]. 数学季刊, 2007, 22(2): 166-174.

LI Wei-ping, WANG Tian-ze. Diophantine Approximation with Four Squares of Primes and Powers of Two[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 166-174.

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