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math.NT2015
Non-divisibility of LCM Matrices by GCD Matrices on GCD-closed Sets
Ercan Altınışık, Mehmet Yıldız, Ali Keskin
In this paper, we consider the divisibility problem of LCM matrices by GCD matrices in the ring proposed by Hong in 2002 and in particular a conjecture concerning…
math.NT2014
On Bounds for the Smallest and the Largest Eigenvalues of GCD and LCM Matrices
Ercan Altınışık, Şerife Büyükköse
In this paper, we study the eigenvalues of the GCD matrix and the LCM matrix defined on . We present upper and lower bounds for the smallest a…