2-Adic Arithmetic-Geometric Mean and Elliptic Curves

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概要

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• We prove that the ratio of the sequences of the arithmetic geometric mean over a finite extension of {\\mathbb Q}<SUB>2</SUB> is periodically convergent, and that the limit is related to the canonical lift of an elliptic curve defined over a finite field of characteristic two.

• 東北大学の論文

著者

• Kinjo Kensaku

  Mathematical Institute, Tohoku University

• Miyasaka Yuken

  Mathematical institute, tohoku uniersity

• Kinjo Kensaku

  Mathematical institute, tohoku uniersity

関連論文

• 2-Adic Arithmetic-Geometric Mean and Elliptic Curves
• 2-Adic Arithmetic-Geometric Mean and Elliptic Curves

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