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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 1

k-Free numbers and integer parts of αp

Şermin ÇAM ÇELİK
Pages
237–251
Publication Date
2022-03-30
DOI
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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

🎯
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.
💡
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

ÇELİK, Ş. Ç. (2022). k-Free numbers and integer parts of αp. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 71 - Sayı: 1, 237–251. https://ajindex.com/articles/746680

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