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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 1

k-Free numbers and integer parts of αp

Şermin Çam Çelik(ISTANBUL BILGI UNIVERSITY)0000-0002-0110-7139
Pages
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Publication Date
2022-03-30
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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
📊
Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Beatty sequences · exponential sums over primes · k-free numbers

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.

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Cite This Article

Çelik, Ş. Ç. (2022). k-Free numbers and integer parts of αp. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 1. https://doi.org/10.31801/cfsuasmas.943912

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