k-Free numbers and integer parts of αp

Authors : Şermin ÇAM ÇELİK

Pages : 237-251

Doi:10.31801/cfsuasmas.943912

View : 13 | Download : 12

Publication Date : 2022-03-30

Article Type : Research Paper

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