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In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface or more general object, and ask about the lattice points on it.
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Diophantine equation - Wikipedia, the free encyclopedia
In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface or more general object, and ask about the lattice points on it.
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A Diophantine equation is an equation in which only integer solutions are allowed. Hilbert's 10th problem asked if an algorithm existed for determining whether an arbitrary ...
noun Mathematics. an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.
Di`o`phan´tine. a. 1. Originated or taught by Diophantus, the Greek writer on algebra. Diophantine analysis (Alg.) that branch of indeterminate analysis which has for its object ...
A general quadratic Diophantine equation in two variables x and y is given by ax^2+cy^2=k, (1) where a, c, and k are specified (positive or negative) integers and x and y are ...
Introduction History Applications and related fields. See also 11GXX, 14GXX. In particular, discussion of many examples and families of equations has been moved to pages for ...
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