Diophantine equation

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Diophantine equation

(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.

References in periodicals archive ?
(13.) Joseph Silverman, Marc Hindry, Diophantine Geometry: An Introduction, (Springer-Verlag, GTM201,2000), fq.
Adding to the substantial and significant work done in the last few decades on finiteness conjectures, this monograph focuses on their results in ordinary differential equations and Diophantine geometry, one of the few problems on Hilbert's list to remain unsolved.
Number Theory III: Diophantine Geometry, Encyclopaedia Math.
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.