On Bounds for the Smallest and the Largest Eigenvalues of GCD and LCM Matrices
Number Theory
2014-08-15 v1
Abstract
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 and the largest eigenvalues of and in terms of particular arithmetical functions.
Cite
@article{arxiv.1408.3113,
title = {On Bounds for the Smallest and the Largest Eigenvalues of GCD and LCM Matrices},
author = {Ercan Altınışık and Şerife Büyükköse},
journal= {arXiv preprint arXiv:1408.3113},
year = {2014}
}