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diophantine equation

noun, Mathematics
1.
an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.
Also, Diophantine equation.
Origin
1925-1930
1925-30; named after Diophantus, 3rd-century a.d. Greek mathematician; see -ine1
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for diophantine equation

Diophantine equation

/ˌdaɪəʊˈfæntaɪn/
noun
1.
(in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought
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
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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diophantine equation in Science
Diophantine equation  
A type of indeterminate equation in which the coefficients are integers, studied to determine all integral solutions.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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diophantine equation in Technology

mathematics
Equations with integer coefficients to which integer solutions are sought. Because the results are restricted to integers, different algorithms must be used from those which find real solutions.
[More details?]
(1998-08-27)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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