幂GCD矩阵及幂LCM矩阵的行列式的非整除性

幂GCD矩阵及幂LCM矩阵的行列式的非整除性 Non-Divisibility of the Determinants of Power GCD and Power LCM Matrices 谭千蓉 TAN Qianrong 1 first-author 林宗兵 LIN Zongbing 1 攀枝花学院计算机学院 攀枝花学院计算机学院 School of Computer Science and Technology,Panzhihua University School of Computer Science and Technology,Panzhihua University 当S是任一因子链,且|S|≥2时,给出了幂GCD矩阵及幂LCM矩阵的行列式的计算公式,并且得到了一个关于其行列式的非整除性的结果. The authors give the computational formula and obtain a result on non-divisibility of determinants of power GCD matrices and power LCM matrices when it is a divisor chain of length not less than 2. 整除 因子链 幂GCD矩阵 幂LCM矩阵 divisibility divisor chain power GCD matrix power LCM matrix 10.14188/j.1671-8836.2010.04.003 O156.1 教育部新世纪优秀人才支持计划基金资助项目（NCET-06-0785） 2010-04-01 2021-04-01 4 56