关于Diophantine方程x^3-1=3py^2  

On the Diophantine Equation x^3-1 =3py^2

作　　者：韩云娜[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《科学技术与工程》2010年第16期3924-3925,共2页Science Technology and Engineering

摘　　要：利用同余及勒让德符号的性质等初等数论的方法,得到了丢番图方程x3-1=3py2无正整数解的4个充分条件,推进了该类三次丢番图方程的研究。Let p be an odd prime,the positive integer solutions situation of the Diophantine equation x3 -1 = 3py2 is studied. Using elementary theory of numbers methods,some sufficient conditions that the Diophantine equation has no integer solution has been proved.

关 键 词：丢番图方程 同余 正整数解 LEGENDRE符号 

分 类 号：O156.1[理学—数学]