On the Diophantine Equation xp+1=py2 for Square Integer Matrices

摘要：

　　In this paper we prove by Model-Theoretic method that the Equation in the Title (with p a prime) is Solvable in the Ring of Square Integer Matrices of order n with n any positive integer.”J.H.E.Cohn has proved that the Diophantine Equation xp+ 1 =py2 (p a positive odd prime)has no positive integer solution ”see <Proc.Amer.Math.Soc.> 2003,131(1) pp13-15.”

关键词： Square Integer Matrix Model Theory

作者: Ma Xin Wang Shiqiang

作者单位: Science college of Gansu agricultural University,730070,Lanzhou School of Math.Beijing Normal University,100875 Beijing

会议类型: 国内会议

会议名称: 中国数学力学物理学高新技术交叉研究学会第十三届学术年会

会议地点: 敦煌

会议语种:英文

页码: 113-113

在线出版日期: 2010-08-01（万方平台首次上网日期，不代表论文的发表时间）