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A Diophantine inequality with four prime variables

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Let [Formula: see text] be a sufficiently large real number. In this paper, it is proved that, for [Formula: see text], the following Diophantine inequality [Formula: see text] is solvable… Click to show full abstract

Let [Formula: see text] be a sufficiently large real number. In this paper, it is proved that, for [Formula: see text], the following Diophantine inequality [Formula: see text] is solvable in prime variables [Formula: see text], which improves the result of Mu [On a Diophantine inequality over primes, Adv. Math. (China) 44(4) (2015) 621–637].

Keywords: inequality; prime variables; inequality four; formula see; diophantine inequality; see text

Journal Title: International Journal of Number Theory
Year Published: 2019

Link to full text (if available)


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