On the Distribution of ap Modulo One
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C.H. Jia
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Article
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1993
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Elsevier Science
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English
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In this paper, we prove: "Suppose \(\alpha\) is an irrational number and let \(\|y\|\) denote the smallest distance of \(y\) from an integer. Then, for any real number \(\beta\), there are infinitely many primes \(p\) such that \(\|\alpha p-\beta\|<p^{-4 / 13}\)." 1993 Academic Press, Inc.