# diophantine equation

### or Diophantine equation

- an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.

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## Origin of diophantine equation^{}

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Diophantine equation

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

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## Word Origin

C18: after Diophantus, Greek mathematician of the 3rd century ad

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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## Diophantine equation

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

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The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.