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Rough values of Piatetski-Shapiro sequences

   Akbal, Yildirim

An integer is called y-rough if it is composed solely of primes > 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 <= x such that left perpendicular n(c) right perpendicular is y-rough uniformly for a range of y that depends on 1 < c < 2229/1949.

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Akbal, Y. (2018). Rough values of Piatetski-Shapiro sequences. MONATSHEFTE FUR MATHEMATIK, 185(1), 1–15. doi:10.1007/s00605-016-0993-y

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