An Explicit Formula for the Arithmetic–Geometric Mean in Genus 3
نویسندگان
چکیده
منابع مشابه
An Explicit Formula for the Arithmetic-Geometric Mean in Genus 3
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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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2007
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2007.10129011