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原根理论的推广及其应用(Ⅰ)
Extention for the Primitive Root Theory and Its Application(Ⅰ)
【摘要】 当模n有原根时,原根的次数是所有次数的公倍数.对于没有原根的模n,通过乘积数对乘积模的次数的计算,该文构造性地得到一种整数(称为广义原根),其次数也是所有次数的公倍数,并得到这个公倍数次数(称为最大次数函数)的一种计算公式.
【Abstract】 f there are primitive roots,for mod n,then the order of primitive roots is the common multiple of the all orders.If.there are not primitive roots,for mod n,by computing the order of "product number", for "product module",this artical has made a number(call generalized primitive root),parametrically,which order is also the common multiple of the all orders.And took a formula to calculating this common multiple-order(call maximum order function).
【关键词】 整数的次数;
最小公倍数;
功能性条件;
最大次数函数;
广义原根;
【Key words】 integer’s order; least common multiple; functional condition; maximum orderfunction; generalized primitive root;
【Key words】 integer’s order; least common multiple; functional condition; maximum orderfunction; generalized primitive root;
- 【文献出处】 江西师范大学学报(自然科学版) ,JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION) , 编辑部邮箱 ,1996年01期
- 【分类号】O156
- 【被引频次】1
- 【下载频次】84