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Let λ1,…,λ5 be nonzero real numbers not all of the same sign, satisfying that λ1/λ2 is irrational, and η be a real number. In this paper, we prove that for… Click to show full abstract
Let λ1,…,λ5 be nonzero real numbers not all of the same sign, satisfying that λ1/λ2 is irrational, and η be a real number. In this paper, we prove that for any e > 0 λ1p1 + λ2p22 + λ 3p33 + λ 4p44 + λ 5p55 + η < (maxpjj)− 5 288 +e has infinitely many solutions in prime variables p1,…,p5.
Keywords:
diophantine approximation;
powers primes;
unlike powers;
approximation unlike
Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!