Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 5

On congruence equations arising from suborbital graphs

Sayfa
2396–2404
Yayın Tarihi
2019-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}(m)$ in $PSL(2,\mathbb{R})$.
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Temel Bulgular & Veri:We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations.
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Sonuç & Katkı:In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Normalizer · imprimitive action · suborbital graphs

Abstract

In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}(m)$ in $PSL(2,\mathbb{R})$. We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.

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Bu Makaleye Atıf Yap

GÜLER, B. Ö., BEŞENK, M., KADER, S. (2019). On congruence equations arising from suborbital graphs. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2396–2404. https://ajindex.com/articles/201384

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