noun

An algebraic equation with two or more variables whose coefficients are integers, studied to determine all integral solutions.

Origin of Diophantine equation

*After*

*Diophantus*

*, third-century AD Greek mathematician*

noun

An algebraic equation with two or more variables whose coefficients are integers, studied to determine all integral solutions.

Origin of Diophantine equation

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"Diophantine equation." *YourDictionary*. LoveToKnow. www.yourdictionary.com/diophantine-equation.

**APA Style**

Diophantine equation. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/diophantine-equation

A type of indeterminate equation in which the coefficients are integers, studied to determine all integral solutions.

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**MLA Style**

"Diophantine equation." *YourDictionary*. LoveToKnow. www.yourdictionary.com/diophantine-equation.

**APA Style**

Diophantine equation. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/diophantine-equation

Noun

(*plural* Diophantine equations)

- (number theory) A polynomial equation whose variables are only permitted to assume integer values

English Wiktionary. Available under CC-BY-SA license.

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Cite this page

**MLA Style**

"Diophantine equation." *YourDictionary*. LoveToKnow. www.yourdictionary.com/diophantine-equation.

**APA Style**

Diophantine equation. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/diophantine-equation

- Diophantine equation
- diophantine-equations
- diophantus
- diopsid