标题:
推导三维本原同余数一般公式及其判定定理Identification and Judgment of Original
Congruent Number
作者:
关永刚, 关春河
关键字:
三维同余数, 三维本原同余数, 三维本原同余数公式, 三维泛本原同余数, 三维整同余数Three-Dimensional Congruent Number; Three-Dimensional Original Congruent Number; Three-Dimensional Formula of the Original Congruent Number; Three-Dimensional Extensive Original Congruent Number; Three-Dimensional Integer Congruent Number
期刊名称:
《Pure Mathematics》, Vol.3 No.2, 2013-03-29
摘要:
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.