推导三维本原同余数一般公式及其判定定理

Abstract

通过运用初等数论方法，把同余数问题从二维空间推广到三维空间。推导出三维本原同余数一般公式及其判定定理。阐明了各类三维同余数之间的关系，全面解决了三维同余数相关问题。 Congruent number problem was extended from two-dimensional space to three-dimensional space by the application of fundmental method, Deduce the general formulas and judgment theorems of three-di- mensional original congruent number. Clarifies the relationship between various types of three-dimensional congruent number, and comprehensively solute the problems associated with the three-dimensional congruent number.