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Journals / 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)
Pages
186–192
Publication Date
2017-03-30
DOI
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AI Summary & Key Takeaways

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

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 Key Takeaways

🎯
Objective & Hypothesis: 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 ).
📊
Key Findings & Data: 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 ).
💡
Conclusion & Impact: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.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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References (6)

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