This may be more than you want: Carls' thesis about generalized AGM's: http://www.math.leidenuniv.nl/scripties/carls.pdf The "ordinary" AGM can be viewed as a process on elliptic curves using 2-isogenies. The AGM in genus 2 uses so-called "Richelot Isogenies". Carls talks about all that in the introduction. Victor On Wed, Dec 28, 2011 at 3:50 PM, <rcs@xmission.com> wrote:
I recall seeing an AGM-like method for evaluating genus 2 hyperelliptic integrals. I don't remember where. IIRC, it involved 3 linked AGM iterations, on several state variables.
Rich
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Quoting Warren Smith <warren.wds@gmail.com>:
Vidunas at end also notes that Gamma(1/5) and Gamma(2/5) can be expressed in terms of two hyperelliptic integrals... but is there any fast AGM-like scheme for evaluating them?
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