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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 2

Divisor function and bounds in domains with enough primes

Haydar Göral0000-0002-8814-6295
Sayfa
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Yayın Tarihi
2019-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we discuss for which rings the absolute value bound for the Bézout identity is not trivial and the answer depends on the number of small primes in the ring.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this note, first we show that there is no uniform divisor bound for the Bézout identity using Dirichlet's theorem on arithmetic progressions.
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Temel Bulgular & Veri:In this note, first we show that there is no uniform divisor bound for the Bézout identity using Dirichlet's theorem on arithmetic progressions.
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Sonuç & Katkı:Then, we discuss for which rings the absolute value bound for the Bézout identity is not trivial and the answer depends on the number of small primes in the ring.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:divisor function · arithmetic progression · polynomials

Abstract

In this note, first we show that there is no uniform divisor bound for the Bézout identity using Dirichlet's theorem on arithmetic progressions. Then, we discuss for which rings the absolute value bound for the Bézout identity is not trivial and the answer depends on the number of small primes in the ring.

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Bu Makaleye Atıf Yap

Göral, H. (2019). Divisor function and bounds in domains with enough primes. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 2. https://ajindex.com/articles/1402808

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Kaynakça (10)

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