Diophantine
Encyclopedia
Diophantine means pertaining to the ancient Greek mathematician Diophantus
Diophantus
Diophantus of Alexandria , sometimes called "the father of algebra", was an Alexandrian Greek mathematician and the author of a series of books called Arithmetica. These texts deal with solving algebraic equations, many of which are now lost...

. A number of concepts bear this name:
  • Diophantine approximation
    Diophantine approximation
    In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers....

  • Diophantine equation
    Diophantine equation
    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...

  • Diophantine set
    Diophantine set
    In mathematics, a Diophantine equation is an equation of the form P=0 where P is a polynomial with integer coefficients...

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