A new class of theta-function identities originating in Ramanujan's notebooks

DOI10.1006/jnth.1994.1064zbMath0812.11028OpenAlexW2053691435MaRDI QIDQ1335257

Liang-Cheng Zhang, Bruce C. Berndt

Publication date: 28 September 1994

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1064

zbMATH Keywords

modular formsRamanujan's identitiestheta-function identities

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Analytic theory of partitions (11P82)

Related Items (9)

A theta function identity of degree 7 with applications ⋮ Human and automated approaches for finite trigonometric sums ⋮ Exact evaluations and reciprocity theorems for finite trigonometric sums ⋮ Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums ⋮ The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\) ⋮ On some new \(P\)-\(Q\) mixed modular equations ⋮ On some new modular relations for a remarkable product of theta-functions ⋮ On certain identities of Ramanujan ⋮ Trigonometric sums through Ramanujan's theory of theta functions

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