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Some Modular Identities of Ramanujan useful in Approximating π
Proceedings of the American Mathematical Society
Vol. 95, No. 3 (Nov., 1985), pp. 365-371
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045804
Page Count: 7
You can always find the topics here!Topics: Approximation, Algebra, Mathematical functions, Arithmetic, Geometric mean, Integers, Elliptic functions
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We show how various modular identities due to Ramanujan may be used to produce simple high order approximations to π. Various specializations are considered and the Gaussian arithmetic geometric mean formula for π is rederived as a consequence.
Proceedings of the American Mathematical Society © 1985 American Mathematical Society