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An Explicit Formula for the Arithmetic–Geometric Mean in Genus 3

✍ Scribed by Lehavi, D.; Ritzenthaler, C.


Book ID
121299518
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
715 KB
Volume
16
Category
Article
ISSN
1058-6458

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📜 SIMILAR VOLUMES


Isogeny formulas for the Picard modular
✍ Kenji Koike; Hironori Shiga 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 188 KB

In this paper we study the Picard modular forms and show a new three terms arithmetic geometric mean (AGM) system. This AGM system is expressed via the Appell hypergeometric function of two variables. The Picard modular forms are expressed via the theta constants, and they give the modular function