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}2 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.

著者

• MIYASAKA Yuken

  Mathematical Institute, Tohoku University

• Kinjo Kensaku

  Mathematical Institute, Tohoku University

関連論文

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

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