Last Updated：2025/11/20

Dictionary quizzes to help you remember vocabulary

(number theory) The Diophantine equation x²-my²=1 for a given integer m, to be solved in integers x and y.

音声機能が動作しない場合はこちらをご確認ください

See correct answer

Pell's equation

Edit Histories（0）

Source Word

Pell's equation

Noun

(number theory) The Diophantine equation x²-my²=1 for a given integer m, to be solved in integers x and y.

Japanese Meaning

ペルの方程式：整数論におけるディオファントス方程式 x² - m*y² = 1（mは与えられた整数）を整数解で求める問題

What is this buttons?

Pell's equation often appears when studying continued fractions and fundamental units in real quadratic fields.

Google Translation / DeepL Translation

ペル方程式（与えられた整数 m に対して整数 x と y を求めるディオファントス方程式 x^2 - m y^2 = 1）は、連分数や実二次体の基本単位を研究する際によく現れます。

Details

Sense（1）

(number theory) The Diophantine equation x²-my²=1 for a given integer m, to be solved in integers x and y.

However, due to Euler's mistake in attributing the equation to English mathematician John Pell (1610-1585), Equation (27.14) is called Pell's equation. Results concerning Pell's equation will be stated without proof.

Google Translation / DeepL Translation

Details

Pell's equations

（ plural ）

Details

Pell's equation

Dictionary quizzes to help you remember vocabulary

Login / Sign up

Download the app!

Pell's equation

Dictionary quizzes to help you remember vocabulary

Login / Sign up

Login

──── or ────

Sign up

──── or ────

Download the app!