The three missing terms in Ramanujan's septic theta function identity

DOI10.1007/s11139-022-00584-2OpenAlexW4321597443MaRDI QIDQ2696310

Örs Rebák

Publication date: 11 April 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11884

zbMATH Keywords

theta functionsRamanujan's lost notebookseptic theta function identities

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Class numbers, class groups, discriminants (11R29) Classical hypergeometric functions, ({}_2F_1) (33C05) Modular correspondences, etc. (11F32) Number theory (11-XX)

Related Items

Exact evaluations and reciprocity theorems for finite trigonometric sums

Cites Work

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• Septic theta function identities in Ramanujan's lost notebook
• Special values of the hypergeometric series II
• Special values of the hypergeometric series
• Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
• The evaluation in terms of Γ-functions of the periods of elliptic curves admitting complex multiplication
• SOME SINGULAR MODULI (II)
• Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations
• Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
• Ramanujan's explicit values for the classical theta‐function
• Ramanujan's class invariants and cubic continued fraction
• Ramanujan's Lost Notebook
• On Epstein's Zeta-function.
• The Heptagonal Triangle
• Singular Moduli (3)^†
• Singular Moduli (4)
• Singular Moduli (5)