New hypergeometric-like series for $1/\pi^{2}$ arising from Ramanujan’s theory of elliptic functions to alternative base 3
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Publication:3082378
DOI10.1090/S0002-9947-2010-05180-3zbMath1213.33009OpenAlexW2069236648MaRDI QIDQ3082378
Narayan Nayak, Nayandeep Deka Baruah
Publication date: 10 March 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-05180-3
Holomorphic modular forms of integral weight (11F11) Class numbers, class groups, discriminants (11R29) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)
Related Items (2)
A summation formula and Ramanujan type series ⋮ Hypergeometric-like series for \(1 / \pi^2\) arising from Ramanujan's quartic theory of elliptic functions
Cites Work
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- Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\)
- Cubic modular equations and new Ramanujan-type series for \(1/\pi\).
- Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions
- Ramanujan's Series for 1/π: A Survey
- RAMANUJAN'S CLASS INVARIANT λn AND A NEW CLASS OF SERIES FOR 1/π
- On Ramanujan's cubic transformation formula for 2 F 1(1/3, 2/3; 1; z)
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- A Cubic Counterpart of Jacobi's Identity and the AGM
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