Yang Shi-chun
Abstract
Quadratic equation is a kind of basic Diophantine equation.This paper points out errors in literature in the reference,uses a general conclusion of Pell equation to study a class of quadratic Diophantine equations,and finds all of the positive integer solution of the equations.
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Quadratic equation is a kind of basic Diophantine equation.This paper points out errors in literature in the reference,uses a general conclusion of Pell equation to study a class of quadratic Diophantine equations,and finds all of the positive integer solution of the equations.
Key concepts: Diophantine equation, Diophantine set, Legendre's equation, Mathematics, Integer (computer science), Thue equation, Quadratic equation, Diophantine geometry