整数划分的计算方法及其在不定方程中的应用

Calculation Method for Integer Partition and its Applications in Indefinite Equations

整数划分是数论的重要问题之一.该研究介绍了整数划分一种的计算方法,并应用于一次不定方程.结合MATLAB程序,计算任何一次不定方程的所有非负整数解或者正整数解及其个数.

Integer partition is one of important issue of Number Theory. This study introduces a calculation method for integer partition and its application on first-order indefinite equation. The all non-negative or positive solutions and the number of those solutions of the arbitrary first-order indefinite equation could be calculated by combining with the MATLAB program.