1. J. M. Borwein and P. B. Borwein, The arithmetic-geometric mean and fast computation of elementary functions,SIAM Review 26, (1984) 351–366.
2. R. P. Brent, Multiple-precision zero-findings methods and the complexity of elementary function evaluation, inAnalytic Computational Complexity, J. F. Traub, ed., New York: Academic Press, 1976, pp. 151–176.
3. D. Cox, The arithmetic-geometric mean of Gauss,Ens. Math. 30, (1984) 275–330.
4. G. H. Hardy and E. M. Wright,An Introduction to the Theory of Numbers, 4th edition, London: Oxford, 1975.
5. Y. Kanada, Y. Tamura, S. Yoshino, and Y. Ushiro, Calculation of π to 10,013,395 decimal places based on the Gauss-Legendre algorithm and Gauss arctangent relations,Mathematics of Computation (forthcoming).