ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS ( mod r)
Shaofang Hong, Raphael Loewy · International Journal of Number Theory · 2011
In this paper, we present systematically analysis on the smallest eigenvalue of matrices associated with completely even functions ( mod r). We obtain several theorems on the asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions ( mod r). 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.