New and simple proofs of Ramanujan’s modular equations of degree 11

DOI10.1142/s1793042124500143MaRDI QIDQ6186055

K. R. Vasuki, M. V. Yathirajsharma

Publication date: 9 January 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

theta functionselliptic integralsmodular equations

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Elliptic integrals as hypergeometric functions (33C75)

Cites Work

• Analogues of the Ramanujan-Mordell theorem
• Ramanujan's Theta Functions
• Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients
• Crossed out modular equations of degree 11 of Ramanujan
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