摘要
本文用初等方法研究了丢番图方程x^3±8=Dy^2,首先补充了柯召等的结果,其次给出D含6k+1型素因子时无正整救解的一些充分性条件.
In this paper , we discuss , by elementary method , the Diophantinc equation x3? = Dy2 . First , we make up some results obtained by Ke Zhao in [2] , and then , we give some sufficient conditions when the equations don't have interger solutions , where D is a square - free integer which is dividsiblc by primes of the form 6k +1.
出处
《黑龙江大学自然科学学报》
CAS
1992年第2期1-5,共5页
Journal of Natural Science of Heilongjiang University
关键词
丢番图方程
PELL方程
正整数解
Diophantine equation, pell equation, positive integral solution.
