# Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, p, and the Ladies Diary

@article{Almkvist1988GaussLR, title={Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, p, and the Ladies Diary}, author={Gert Almkvist and Bruce C. Berndt}, journal={American Mathematical Monthly}, year={1988}, volume={95}, pages={585-608} }

Paper 8: Gert Almkvist and Bruce Berndt, “Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi, and the Ladies Diary,” American Mathematical Monthly, vol. 95 (1988), pg. 585–608. Copyright 1988 Mathematical Association of America. All Rights Reserved.

## 136 Citations

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### How the elliptic integrals K and E arise from circles and points in the Minkowski plane

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