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MR966232 (89j:01028) 01A50 (01A55 01A60 33A25)
Almkvist, Gert; Berndt, Bruce Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, $\pi$, and the Ladies diary. Amer. Math. Monthly 95 (1988), no. 7, 585–608.
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