One Diophantine inequality with unlike powers of prime variables
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DOI: 10.1142/s1793042117500853
Abstract: Let k be an integer with k ≥ 4 and η be any real number. Suppose that λ1,λ2,λ3,λ4,λ5 are nonzero real numbers, not all of the same sign and λ1/λ2 is irrational. It is proved… read more here.
Keywords: diophantine inequality; one diophantine; inequality unlike; inequality ... See more keywords
Diophantine approximation by unlike powers of primes
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Number Theory"
DOI: 10.1142/s1793042117501330
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… read more here.
Keywords: diophantine approximation; powers primes; unlike powers; approximation unlike ... See more keywords