Ramanujan type \(1/\pi\) approximation formulas
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Publication:740886
DOI10.1016/j.jnt.2013.04.010zbMath1295.11142OpenAlexW1713779392MaRDI QIDQ740886
Publication date: 9 September 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.010
numerical methodselliptic functionsRamanujansingular modulus\(\pi\)-formulasalternative modular bases
Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Evaluation of number-theoretic constants (11Y60)
Related Items (4)
On a Ramanujan-type series associated with the Heegner number 163 ⋮ Unnamed Item ⋮ Parametric evaluations of the Rogers-Ramanujan continued fraction ⋮ Conjectures on the evaluation of certain functions with algebraic properties
Cites Work
- Conjectures on the evaluation of alternative modular bases and formulas approximating \(1/\pi\)
- Class number three Ramanujan type series for \(1/\pi\)
- Evaluation of complete elliptic integrals of the first kind at singular moduli
- Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions
- Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- Ramanujan and the Modular j-Invariant
- A Cubic Counterpart of Jacobi's Identity and the AGM
- Eisenstein series and approximations to \(\pi\)
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