k-Free numbers and integer parts of αp

Year 2022, Volume: 71 Issue: 1, 237 - 251, 30.03.2022

Şermin Çam Çelik

https://doi.org/10.31801/cfsuasmas.943912

Abstract

In this note, we obtain asymptotic results on integer parts of αp that are free of kth powers of primes, where p is a prime number and α is a positive real number.

Keywords

Beatty sequences, exponential sums over primes, k-free numbers

Project Number

119F425

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