A Note on a Unitary Analog to Redheffer's Matrix
Number Theory
2019-05-29 v2
Abstract
We study a unitary analog to Redheffer's matrix. It is first proved that the determinant of this matrix is the unitary analogue to that of Redheffer's matrix. We also show that the coefficients of the characteristic polynomial may be expressed as sums of Stirling numbers of the second kind. This implies in particular that is an eigenvalue with algebraic multiplicity greater than that of Redheffer's matrix.
Cite
@article{arxiv.1905.11183,
title = {A Note on a Unitary Analog to Redheffer's Matrix},
author = {Olivier Bordellès},
journal= {arXiv preprint arXiv:1905.11183},
year = {2019}
}
Comments
6 pages; comments are wellcome