Volume no :6, Issue no: 1, September 2010

Journal of Mathematical Sciences: Advances and Applications

DIOPHANTINE APPROXIMATION WITH FOUR SQUARES AND ONE K-TH POWER OF PRIMES

Author's: Weiping Li and Tianze Wang
Pages: [1] - [16]
Received Date:
Submitted by:

Abstract

We show that if are non-zero real numbers, not all of the same sign, is real, and at least one of the ratios is irrational, then for and any positive integer the inequality has infinitely many primes solutions

Keywords

diophantine approximation, prime, Davenport-Heilbronn method.