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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Berndt using the theory of modular forms.
📌 3 Key Takeaways
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Objective & Hypothesis:Ramanujan recorded several modular equations and $P$-$Q$ theta function identities in his notebooks and lost notebook without recording the proofs.
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Key Findings & Data:In this paper, we provide an elementary proof of two modular equations and two $P$-$Q$ theta function identities of level 35, which have been proved by B.C.
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Conclusion & Impact:Berndt using the theory of modular forms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Theta function · modular equation
Abstract
S. Ramanujan recorded several modular equations and $P$-$Q$ theta function identities in his notebooks and lost notebook without recording the proofs. In this paper, we provide an elementary proof of two modular equations and two $P$-$Q$ theta function identities of level 35, which have been proved by B.C. Berndt using the theory of modular forms.
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Cite This Article
VASUKI, K. R., T, A. (2019). On a pair of Ramanujan's modular equations and $P$-$Q$ theta functions of level 35. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 63–80. https://ajindex.com/articles/212745