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Dergiler / New Trends in Mathematical Sciences / 2026 / Cilt: 5 Sayı: 2

On the property between theta functions and Dedekind’s function according to the changes in the value periods

İsmet Yildiz(DUZCE UNIVERSITY)
Pinar Kahraman(DUZCE UNIVERSITY)
Deniz Yetkin(DUZCE UNIVERSITY)
Barbaros Celik(DUZCE UNIVERSITY)
Sayfa
186–192
Yayın Tarihi
2017-03-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The transformations among the theta functions according to the periods have been given and a Jacobian style elliptic functions has been set up the theta function by the help of a defined function.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: In the study, two relations between the Dedekind’s h-function and q - function were established by using characteristic values (e ,e ′) ≡ (0,0), (0,1)(mod2) for q -function according to 1/ 8 coefficient of period pair(u,t ).
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Temel Bulgular & Veri: In the study, two relations between the Dedekind’s h-function and q - function were established by using characteristic values (e ,e ′) ≡ (0,0), (0,1)(mod2) for q -function according to 1/ 8 coefficient of period pair(u,t ).
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Sonuç & Katkı:The transformations among the theta functions according to the periods have been given and a Jacobian style elliptic functions has been set up the theta function by the help of a defined function.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Theta functions · Dedekinds function · periods pair

Abstract

 In the study, two relations between the Dedekind’s h-function and q - function were established by using characteristic values (e ,e ′) ≡ (0,0), (0,1)(mod2) for q -function according to 1/ 8 coefficient of period pair(u,t ). The transformations among the theta functions according to the periods have been given and a Jacobian style elliptic functions has been set up the theta function by the help of a defined function.

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Bu Makaleye Atıf Yap

Yildiz, İ., Kahraman, P., Yetkin, D., Celik, B. (2017). On the property between theta functions and Dedekind’s function according to the changes in the value periods. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 2, 186–192. https://ajindex.com/articles/1657679

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Kaynakça (6)

  1. Gregory L. Wilson, A family of modular functions Arising from the theta function London Math. Soc. (3),55,1987, London.
  2. Harry E.Rauch, Elliptic Functions, Theta Functions, and Riemann surfaces, The Library of Congress catalog card number 74-88141, SBN 683-07187-4, 1973 Baltimore, USA.
  3. Komaravolu, C., Elliptic functions, Springer-Verlag Berlin Heidelberg New York Tokyo, ISBN 0-387-15295-4,1985, Germany.
  4. Yıldız.˙I., Uyanık. N., “On The Elliptic Function Arising From the Theta Functions and Dedekind’s -function” Journal of Math. and Stat.1 (2):153-159 ( 2005).
  5. Yildiz, I., On extension of the modular transformations over the modular group by reflection” journal of applied mathematics and computation. 153 (2004).111-116.
  6. Tom M. Apostol., Modular functions and Dirichled Series in Number theory.California institute of technology. January.1976.