New \(P-Q\) mixed modular equations and their applications

DOI10.1007/s11565-017-0286-yzbMath1456.11064OpenAlexW2619584645MaRDI QIDQ1989486

B. Hemanthkumar, Megadahalli S. Mahadeva Naika, Sathyanarayana Chandankumar

Publication date: 26 October 2018

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-017-0286-y

zbMATH Keywords

modular equationstheta-functionsexplicit valuescubic singular moduli

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05)

Related Items (2)

\(P\)-\(Q\) ``mixed modular equations of degree 15 ⋮ Unnamed Item

Cites Work

• A certain quotient of eta-functions found in Ramanujan's lost notebook.
• Cubic modular equations and new Ramanujan-type series for \(1/\pi\).
• Cubic singular moduli, Ramanujan's class invariants \(\lambda_n\) and the explicit Shimura reciprocity law.
• On Russell-Type Modular Equations
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