沈阳大学学报2012,Vol.24Issue(3):32-34,3.
关于Pell方程ax^2-mqy^2=±1(m∈Z^+,a为奇数,q为素数)
On Pell Equation ax^2-mqy^2=±1(m∈Z^+,a is an odd number, q is a prime factor)
摘要
Abstract
It works out some methods to judge with the sets of Pell Equation (m∈Z^+ , a is an odd number, q is a prime factor, amq is a non-square positive integer) which has no positive integer solutions.关键词
Pell方程/正整数解/素数/同余/Legendre符号Key words
Pell Equation/positive integer solution/prime factor/congruence/Legendre sign分类
数理科学引用本文复制引用
杜先存,赵金娥..关于Pell方程ax^2-mqy^2=±1(m∈Z^+,a为奇数,q为素数)[J].沈阳大学学报,2012,24(3):32-34,3.基金项目
云南省教育厅科研基金资助项目(2011C121). ()