二次型在不定方程中的应用

Quadratic Equation in the Variable Application

具体介绍了一种二元二次不定方程的解法,分析这种解法,然后提出运用二次型解不定方程的猜想,证实此猜想并详细介绍这种方法,最后提出漏解情形可能性,并对这个漏解情形进行讨论并加以完善.

In this paper, binary quadratic Diophantine equation has been studied. The binary quadratic Diophantine equation can be divided into elliptic, hyperbolic, parabolic three. Any indefinite binary quadratic equation can be changed after a linear transformation to a standard form to discuss the use of binary quadratic Diophantine equation of the second specific method, and extended to the ease of n-. Solution of the case raises the possibility of leakage, and the feasibility of this method is discussed and improved as well.