scientific article; zbMATH DE number 1114500

zbMath0893.11050MaRDI QIDQ4377085

Jonathan M. Borwein, Frank G. Garvan

Publication date: 9 February 1998

Full work available at URL: http://www.cecm.sfu.ca/organics/papers/garvan/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

iterationsmodular equationsDedekind eta functionsalgorithms for approximating \(\pi\)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Dedekind eta function, Dedekind sums (11F20) Evaluation of number-theoretic constants (11Y60)

Related Items (6)

Quadratic iterations to ${\pi }$ associated with elliptic functions to the cubic and septic base ⋮ Self-replication and Borwein-like algorithms ⋮ The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$ ⋮ Hypergeometric transformation formulas of degrees 3, 7, 11 and 23 ⋮ Analogues of the Brent-Salamin algorithm for evaluating \(\pi\) ⋮ When is the derivative of an eta quotient another eta quotient?

Uses Software

• Maple

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