On some P-Q modular equations of degree 45

DOI10.22199/issn.0717-6279-4956OpenAlexW4382301232MaRDI QIDQ6138727

G. Sharath

Publication date: 16 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4956

zbMATH Keywords

theta functionsmodular equations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Ramanujan's identities for Eta-functions
• On some new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta-functions
• Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction.
• Cubic modular equations and new Ramanujan-type series for \(1/\pi\).
• Some evaluations of Ramanujan's cubic continued fraction
• Some new modular equations in Ramanujan's alternate theory of signature 3
• On certain identities for ratios of theta-functions and some new modular equations of mixed degree
• Certain new Ramanujan's Schläfli-type mixed modular equations
• Evaluations of the Rogers–Ramanujan continued fraction R(q) by modular equations
• Ramanujan's modular equations
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
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