ON THE EIGENVALUES OF REDHEEFERS MATRIX .2.

Authors
VAUGHAN RC
Citation
Rc. Vaughan, ON THE EIGENVALUES OF REDHEEFERS MATRIX .2., Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 60, 1996, pp. 260-273
Citations number
6
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
60
Year of publication
1996
Part
2
Pages
260 - 273
Database
ISI
SICI code
0263-6115(1996)60:<260:OTEORM>2.0.ZU;2-Q
Abstract
The Redheffer matrix A(n) = (a(ij))(nxn) defined by a(ij) = 1 when i/j or j = 1 and a(ij) = 0 otherwise has many interesting number theoreti c properties. In this paper we give fairly precise estimates for its e igenvalues in punctured discs of small radius centred at 1.