Dergiler / 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
Sayfa
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Yayın Tarihi
2022-03-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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