Sylvester–Kac matrices with quadratic spectra: A comprehensive note

Sylvester–Kac matrices are tridiagonal integral matrices with integral spectra or with eigenvalues presenting some kind of regularity. Recently, several results have emerged independently in the literature with spectra having some type of quadratic form. In this note, we review those main results. U...

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Veröffentlicht in:	The Ramanujan journal Jg. 65; H. 3; S. 1313 - 1322
Hauptverfasser:	Du, Zhibin, da Fonseca, Carlos M.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.11.2024
Schlagworte:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Eigenvalues 15A15 15B36 Sylvester–Kac matrix Tridiagonal matrix 15A18
ISSN:	1382-4090, 1572-9303
Online-Zugang:	Volltext
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