On certain identities of Ramanujan

DOI10.1006/jnth.2000.2513zbMath0981.11016OpenAlexW2028896193MaRDI QIDQ1573778

Zhi-Guo Liu

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2513

zbMATH Keywords

partitionLambert seriestheta functionselliptic functionsmodular equation

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05)

Related Items (4)

Two theta function identities and some Eisenstein series identities of Ramanujan ⋮ A theta function identity and its implications ⋮ Differential equations for septic theta functions ⋮ On generalization of a Ramanujan's theta function identity

Cites Work

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• Theta function identities
• A new class of theta-function identities originating in Ramanujan's notebooks
• On the equivalence of Ramanujan's partition identities and a connection with the Rogers-Ramanujan continued fraction
• Some identities involving the partition function
• ON CERTAIN IDENTITIES DUE TO RAMANUJAN
• On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
• Ramanujans Vermutung über Zerfällungszahlen.

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