Pell's equations
Pell's equations is the plural of Pell's equation.
Meaning of Pell's equation
Noun
Pell's equation (plural Pell's equations)
- 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.1974, Allan M. Kirch, Elementary Number Theory: A Computer Approach, Intext Educational Publishers, page 212
- Synonyms:
- Pell-Fermat equation
Questions about Pell's equations
- What is Pell's equations the plural of?
- Pell's equations is the plural of Pell's equation.
Words near Pell's equations in the dictionary
Source and license
Adapted from Wiktionary: Pell's equations (page history and authors); Pell's equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “Pell's equations.” Word.ws, https://word.ws/pell%27s_equations. Based on Wiktionary, CC BY-SA 4.0.
