Modular equations and approximations to \(\pi\).

zbMATH Open45.1249.01MaRDI QIDQ1474429

Srinivasa Ramanujan

Publication date: 1914

Published in: The Quarterly Journal of Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/Cpaper6/page1.htm

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Evaluation of number-theoretic constants (11Y60)

Related Items (10)

On two-term hypergeometric recursions with free lower parameters ⋮ Some double series for \(\pi\) and their \(q\)-analogues ⋮ Ramanujan-inspired series for 1/π involving harmonic numbers ⋮ On a problem due to Glasser on analytically tractable moments ⋮ Asymptotic expansions of truncated hypergeometric series for \(1 / \pi\) ⋮ Generalized Ramanujan-Sato series arising from modular forms ⋮ Some parametric \(q\)-supercongruences from a summation of Gasper and Rahman ⋮ Ramanujan-type series for \(\frac{1}{\pi}\), revisited ⋮ Divisibility of certain sums involving central \(q\)-binomial coefficients ⋮ Digits, Primes and, of course, Pi

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