- Experiment. Math.
- Volume 16, Issue 4 (2007), 421-440.
An Explicit Formula for the Arithmetic--Geometric Mean in Genus 3
The arithmetic--geometric mean algorithm for calculating elliptic integrals of the first type was introduced by Gauss. The analogous algorithm for abelian integrals of genus $2$ was introduced by Richelot (1837) and Humbert (1901). We present the analogous algorithm for abelian integrals of genus 3.
Experiment. Math., Volume 16, Issue 4 (2007), 421-440.
First available in Project Euclid: 6 March 2008
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Lehavi, D.; Ritzenthaler, C. An Explicit Formula for the Arithmetic--Geometric Mean in Genus 3. Experiment. Math. 16 (2007), no. 4, 421--440. https://projecteuclid.org/euclid.em/1204836513