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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 1

THE IMAGES UNDER THE MODULAR GROUP AND EXTENDED MODULAR GROUP

Özden KORUOĞLU
Sayfa
15–20
Yayın Tarihi
2022-10-18
DOI
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Using these images, unlike known methods, we can show that the extended modular group takes the upper half of the complex plane into H.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we obtain the image of each element of C under the modular and extended modular group by continued fractions.
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Temel Bulgular & Veri:The modular group takes the upper half of the complex plane into itself.
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Sonuç & Katkı:Using these images, unlike known methods, we can show that the extended modular group takes the upper half of the complex plane into H.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Modular group · Extended modular group · Continued fraction

Abstract

In this paper we obtain the image of each element of C under the modular and extended modular group by continued fractions. The modular group takes the upper half of the complex plane into itself. Using these images, unlike known methods, we can show that the extended modular group takes the upper half of the complex plane into H.

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Bu Makaleye Atıf Yap

KORUOĞLU, Ö. (2022). THE IMAGES UNDER THE MODULAR GROUP AND EXTENDED MODULAR GROUP. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 1, 15–20. https://ajindex.com/articles/530569

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Kaynakça (11)

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