互素勾股数的复数讨论  

A Complex Number Discussion about Pythagorean Number

作　　者：景占策[1] 

机构地区：[1]青海师范大学数学与信息科学系,青海西宁810008

出　　处：《青海师专学报》2007年第5期39-41,共3页Journal of Qinghai Junior Teachers' College

摘　　要：本文用复数方法研究勾股数.用复数参量导出勾股数的表示式,由这种表示式讨论了勾股数的性质.并说明了互素勾股数组的导出方法.最后列出了500以内的互素勾股数表.The characteristics of Pythagorean triples are studied in terms of complex number. Complex parameters of triples are introduced. Two expressions of Pythagorean triples are derived. The method of deducing Pythagorean Triples（ irreducible and reducible） is explained. All irreducible Pythagorean triples less than 500 are calculated and listed in this paper.

关 键 词：复数 互素数 勾股数组 

分 类 号：O156.1[理学—数学]