文献类型：期刊文献

英文题名：On the exponential diophantine equation (m³-3m)^x+(3m²-1)^y=(m²+1)^z

作者：Le, MH

机构：[1]Zhanjiang Normal Coll, Zhangjiang 524048, Guangdong, Peoples R China;[2]Zhanjiang Univ Oceanog, Dept Math, Zhangjiang 524088, Guangdong, Peoples R China

年份：2001

卷号：58

期号：3

起止页码：461

外文期刊名：PUBLICATIONES MATHEMATICAE-DEBRECEN

收录：SCI-EXPANDED(收录号：WOS:000169074800013)、、WOS

语种：英文

外文摘要：Let m be a positive integer. In this paper we prove that if 2 // m and m > 206, then the equation (m(3) - 3m)(x) + (3m(2) - l)(y) = (m(2) + 1)(z): has only one positive integer solution (x, y, z) = (2, 2, 3) satisfying x > 1, y > 1 and z > 1.