摘要
当丢番图方程a1y21+a2y22+…+an-1y2n-1=any2n有一组非平凡的整数解y 1,y 2,…,y n(y n≠0)时,给出了方程a1x21+a2x22+…+an-1x2n-1=anx2n满足(x1,x2,…,xn)=1的全部正整数解的公式.
When there is one nontrivial integer solution y*1,y*2,...,y*n(y*n≠0) of Diophantine equation a1y21+a2y22+...+an-1y2n-1=any2n, this article provides a formula of all siolution to positive integer of Diophantine equation a1x21+a2x22+...+an-1x2n-1=anx2n which satisfies (x1,x2,...,xn)=1.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2003年第6期574-576,共3页
Journal of Sichuan Normal University（Natural Science）
关键词
丢番图方程
最大公因数
正整数解
Diophantine equation
Greatest common measure
Solution to positive integer
