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.]

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]
References in periodicals archive ?
Recent examples of concrete mathematical problems where Model Theory interacted in a fruitful manner abound: the local version of Hilbert~s 5th problem by Goldbring and van den Dries, Szemeredi~s theorems in combinatorics and graph theory, the Andr-Oort conjecture in diophantine geometry (Pila, Wilkie, Zannier), etc.
The proceedings of the June 2013 conference explores algebraic number theory, Diophantine geometry, curves and abelian varieties over finite fields, and applications to error-correcting codes.
The topics include lifting nonproper tropical intersections, fewnomial systems with many roots and an Adelic Tau conjecture, the structure of non-Archimedean analytic curves, diophantine geometry and analytic spaces, and a primer for the algebraic geometry of sandpiles.