On Ramanujan's quartic theory of elliptic functions
From MaRDI portal
Publication:5933399
DOI10.1006/jnth.2000.2615zbMath1005.33009OpenAlexW2044118381MaRDI QIDQ5933399
Wen-Chin Liaw, Heng Huat Chan, Bruce C. Berndt
Publication date: 20 May 2001
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.2000.2615
Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)
Related Items
Domb's numbers and Ramanujan-Sato type series for \(1/\pi\), Infinite series identities derived from the very well-poised \(\Omega\)-sum, Rational analogues of Ramanujan's series for 1/π, Proofs of some Ramanujan series for 1/π using a program due to Zeilberger, Some new quartic modular equations in Ramanujan's alternative theory of signature 4, Complex series for \(1/\pi\), Eisenstein series and Ramanujan-type series for \(1 / \pi\), Legendre polynomials and Ramanujan-type series for \(1/\pi\), Explicit evaluations of cubic and quartic theta-functions, Eisenstein series and theta functions to the septic base, Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions, Wronskians of theta functions and series for \(1/\pi\), Analogues of the Brent-Salamin algorithm for evaluating \(\pi\), NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES, Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\), Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind, Hypergeometric-like series for \(1 / \pi^2\) arising from Ramanujan's quartic theory of elliptic functions
Cites Work
