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Diophantine Approximation with Four Squares of Primes and Powers of Two 被引量:1

四个素数的平方及2的若干次幂和丢番图逼近(英文)
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摘要 Under certain condition, the inequality |λ_1p_1~2+λ_2p_2~2+λ_3p_3~2+λ_4p_4~2+μ_12^(x1)+…+μ_s2^(xs)+γ|<ηhas infinitely many solutions in primes p_1,p_2,p_3,p_4 and positive integers x_1,…,x_s.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第2期166-174,共9页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(10171076) Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)
关键词 prime variables diophantine inequalities application of the Hardy-Littlewood method 丢番图方程 丢番图逼近 素数 组合数学
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  • 1HUA Luo-keng.Some results in the additive prime number theory[J].Quart J Math(Oxford),1938,9:68-80. 被引量:1
  • 2LIU Jian-ya,LIU Ming-chit.Representation of even integers as sums of squares of primes and powers of 2[J].Journal of Number Theory,2000,83(2):202-225. 被引量:1
  • 3SCOTT T Parsell.Diophantine approximation with primes and powers of two[J].New York Journal of Mathematics,2003,9:363-371. 被引量:1
  • 4RIEGBR G J.Uber die Summe ays einem quadrat und einem primzahlquadrat[J].J Reine Angew Math,1968,251:89-100. 被引量:1

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