On the eigenstructure of sparse matrices related to the prime number theorem

The sparse (0,1) matrix that was introduced by Redheffer has the property that its nth leading principal minor equals ∑i≤nμ(i), where μ is the Möbius function. Recently, a substantially sparser (0,1) matrix that possesses the same property has been described. Let Rn denote the nth leading principal...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Linear algebra and its applications 2020-01, Vol.584, p.409-430
1. Verfasser:	Kline, Jeffery
Format:	Artikel
Sprache:	eng
Schlagworte:	Dirichlet convolution Eigenvalues Eigenvectors Linear algebra Mertens function Number theory Prime number theorem Redheffer matrix Sparse matrices Sparse matrix
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!