Meaning of diophantine equation

di•o•phan'tine equa'tion

Pronunciation: (dī"u-fan'tīn, -tēn, -fan'tn), [key]
— Math. Math.
  1. an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.