An Explicit Formula for the Arithmetic-Geometric Mean in Genus 3
نویسندگان
چکیده
The arithmetic geometric mean algorithm for calculation of elliptic integrals of the first type was introduced by Gauss. The analog 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.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 16 شماره
صفحات -
تاریخ انتشار 2007