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Diophantine equation

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(mathematics)Diophantine equation - 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.
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The equation of Fermat''s last theorem is one example of a type known as a Diophantine equation -- an algebraic expression of several variables whose solutions are required to be rational numbers (either whole numbers or fractions, which are ratios of whole numbers).
The 2500-Year-Old Pythagorean Theorem by Brain Haley / Reference and Education community
Abstract We search for nonzero integral triples (x, y, z) satisfying the quartic Diophantine equation 2[x.
Integral solutions of quartic Diophantine equation ... by Somanath, Manju; Vanitha, N.; Gopalan, M.A. / Advances in Theoretical and Applied Mathematics
It asks whether there is a mechanical procedure, such as could be programmed into a computer, for deciding whether a Diophantine equation has solutions (a Diophantine equation is one like the Fermat equation [x.
Mathematical Mountaintops. (Books: spheres & cubes) by Franklin, James / New Criterion
 
 
 
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