摘要
设p是6k+1型的奇素数,探讨了Diophantine方程x3-1=3py2的正整数解的情况。运用Pell方程px2-3y2=1的最小解、同余式、平方剩余、勒让德符号等初等方法证明了两个结论。
The positive integer solutions of the Diophantine equation x3-1= 23 py are studied on condition that p is an odd prime of the form 6k＋1 . By using the elementary method of the minimal solution of the Pell equation 2px -3 y 2 =1 , congruent formula, quadratic residue and Legendre symbol, two related conclusions are proved.
出处
《唐山师范学院学报》
2014年第2期14-15,共2页
Journal of Tangshan Normal University
基金
云南省教育厅科研基金(2012C199)
江苏省教育科学"十二五"规划课题项目(D201301083)
