- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 1
- k-Free numbers and integer parts of αp
k-Free numbers and integer parts of αp
Authors : Şermin Çam Çelik
Pages : 237-251
Doi:10.31801/cfsuasmas.943912
View : 6 | Download : 4
Publication Date : 2022-03-30
Article Type : Research
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