Asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod r)
Number Theory
2011-09-28 v5
Abstract
In this paper we present systematically analysis on the smallest eigenvalue of matrices associated with completely even functions (mod ). We obtain several theorems on the asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod ). In particular, we get information on the asymptotic behavior of the smallest eigenvalue of the famous Smith matrices. Finally some examples are given to demonstrate the main results.
Keywords
Cite
@article{arxiv.0808.4118,
title = {Asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod r)},
author = {Shaofang Hong and Raphael Loewy},
journal= {arXiv preprint arXiv:0808.4118},
year = {2011}
}
Comments
23 pages. To appear in International Journal of Number Theory