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An explicit cubic iteration for π

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Abstract

Using the theory of the cubic modular equation we have discovered a remarkably simple class of cubically convergent algebraic iterations for π.

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References

  1. J. M. Borwein and P. B. Borwein,Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity, John Wiley, to appear, 1986.

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Borwein, J.M., Borwein, P.B. An explicit cubic iteration for π. BIT 26, 123–126 (1986). https://doi.org/10.1007/BF01939368

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  • DOI: https://doi.org/10.1007/BF01939368

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