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].
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