摘要
设p1,p2,…,ym为素数,讨论了由Cipu,Luca和Mignotte提出的与阶乘有关的一类单位方程p1y1+…+Pmym=n!的非负整数解,给出了当(p1,p2,p3,p4)=(2,3,5,p),且p≡7(mod24)以及p≡11(mod12)时方程的全部解,推广了Cipu,Luca和Mignotte的已有结果.
Let p1, p2, … , ym be prime numbers. In this paper, we study the S-unit Diophantine equation about factorial p1y1+…+Pmym=n! by Cipu, Luca and Mignotte, and the non-negative integer solutions of some cases for the equation are all given, where (p1, p2, p3, p4) = (2, 3, 5, p), p≡7(mod 24) or p≡11(mod 12), and the results of Cipu, Luca and Mignotte are generalized.
出处
《西南民族大学学报(自然科学版)》
CAS
2009年第3期411-413,共3页
Journal of Southwest Minzu University(Natural Science Edition)
基金
四川省教育厅自然科学基金资助项目
阿坝师专校级科研基金资助项目
关键词
指数丢番图方程
阶乘
非负整数解
exponential diophantine equation
non-negative integer solution
factorial