Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (2): 166-174.

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Diophantine Approximation with Four Squares of Primes and Powers of Two

  


  1. 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)

Abstract: Under certain condition, the inequality |λ1p122p223p324p4212x1+…+μs2xs+γ|<η has infinitely many solutions in primes p1,p2,p3,p4 and positive integers x1,…,xs.

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

CLC Number: