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Rough values of Piatetski-Shapiro sequences

Akbal, Yildirim


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    <subfield code="a">An integer is called y-rough if it is composed solely of primes &amp;gt; y. Let left perpendicular.right perpendicular be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n &amp;lt;= x such that left perpendicular n(c) right perpendicular is y-rough uniformly for a range of y that depends on 1 &amp;lt; c &amp;lt; 2229/1949.</subfield>
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