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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2019 / Cilt: 12 - Sayı: 2

Padovan-circulant-Hurwitz Sequences Modulo m

Padovan-circulant-Hurwitz Dizilerinin m Modülüne Göre Periyotları

Zafer ADIGÜZEL
Özgür ERDAĞ
Ömür DEVECİ
Pages
783–787
Publication Date
2019-08-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we study the Padovan-circulant-Hurwitz sequence modulo and then we obtain the relationship among the periods of the Padovan-circulant-Hurwitz sequence modulo and the orders of the cyclic groups obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Padovan-circulant-Hurwitz sequence and the Padovan-circulant-Hurwitz matrix were defined by Adıgüzel et al..
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Key Findings & Data:In this work, we consider the cyclic groups which are generated by the multiplicative orders of the Padovan-circulant-Hurwitz matrix when read modulo .
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Conclusion & Impact:Also, we study the Padovan-circulant-Hurwitz sequence modulo and then we obtain the relationship among the periods of the Padovan-circulant-Hurwitz sequence modulo and the orders of the cyclic groups obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Circulant Matris · Dizi · Periyot

Abstract

The Padovan-circulant-Hurwitz sequence and the Padovan-circulant-Hurwitz matrix were defined by Adıgüzel et al.. In this work, we consider the cyclic groups which are generated by the multiplicative orders of the Padovan-circulant-Hurwitz matrix when read modulo . Also, we study the Padovan-circulant-Hurwitz sequence modulo and then we obtain the relationship among the periods of the Padovan-circulant-Hurwitz sequence modulo and the orders of the cyclic groups obtained.

Özet

Padovan-circulant-Hurwitz dizisi ve Padovan-circulant-Hurwitz matrisi Adıgüzel vd. tarafından tanımlanmıştır. Bu çalışmada Padovan-circulant-Hurwitz matrisinin modülüne göre indirgenmesi suretiyle bu matris üreteç olarak seçilerek devirli gruplar elde edilmiştir. Ayrıca üretilen devirli grupların mertebeleri ile dizinin modülüne göre periyotları arasında bağıntılar oluşturulmuştur.

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Cite This Article

ADIGÜZEL, Z., ERDAĞ, Ö., DEVECİ, Ö. (2019). Padovan-circulant-Hurwitz Sequences Modulo m. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 12 - Sayı: 2, 783–787. https://ajindex.com/articles/233957

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References (6)

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