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Diophantine equation
(redirected from Arithmetical algebraic geometry)

   Also found in: Dictionary/thesaurus, Wikipedia 0.01 sec.
(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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If Miyaoka's proof turns out to be correct, then, according to some experts in arithmetical algebraic geometry (as this new field is called), similar methods may be useful for tackling a variety of tough mathematical problems.
 
 
 
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