Rough values of Piatetski-Shapiro sequences

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Rough_values_of_Piatetski-Shapiro_sequences.pdf (408 KB)

Date

2018

Authors

Akbal, Y.

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Abstract

An integer is called y-rough if it is composed solely of primes CloseSPigtSPi y. Let ⌊. ⌋ be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n⩽ x such that ⌊ nc⌋ is y-rough uniformly for a range of y that depends on 1 OpenSPiltSPi cOpenSPiltSPi 2229 / 1949.

Source Title

Monatshefte fur Mathematik

Publisher

Springer-Verlag Wien

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Keywords

Exponential sums, Piatetski-Shapiro sequences, Rough numbers

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http://hdl.handle.net/11693/50350

Published Version (Please cite this version)

https://doi.org/10.1007/s00605-016-0993-y

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Scholarly Publications - Mathematics

Language

English

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Article