# Diophantine equation

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## Diophantine equation

*n.*

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

[After Diophantus

*, third-century ad Greek mathematician*.]American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Diophantine equation

(ˌdaɪəʊˈfæntaɪn)*n*

(Mathematics) (in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought

[C18: after

*Diophantus*, Greek mathematician of the 3rd century ad]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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