Rough values of Piatetski-Shapiro sequences
Date
2018
Authors
Akbal, Y.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Monatshefte fur Mathematik
Print ISSN
0026-9255
Electronic ISSN
Publisher
Springer-Verlag Wien
Volume
185
Issue
1
Pages
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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.