On the eigenvalues of Redheffer's matrix, II

R. C. Vaughan

doi:10.1017/s1446788700037654

On the eigenvalues of Redheffer's matrix, II

R. C. Vaughan

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The Redheffer matrix A_n = (a_ij)_n×n defined by a_ij = 1 when i|j or j = 1 and a_ij = 0 otherwise has many interesting number theoretic properties. In this paper we give fairly precise estimates for its eigenvalues in punctured discs of small radius centred at 1.

Original language	English (US)
Pages (from-to)	260-273
Number of pages	14
Journal	Journal of the Australian Mathematical Society
Volume	60
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700037654
State	Published - Apr 1996

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1017/s1446788700037654

Cite this

@article{3df7fcd4a04847af9d56d248990dac47,

title = "On the eigenvalues of Redheffer's matrix, II",

abstract = "The Redheffer matrix An = (aij)n{\texttimes}n defined by aij = 1 when i|j or j = 1 and aij = 0 otherwise has many interesting number theoretic properties. In this paper we give fairly precise estimates for its eigenvalues in punctured discs of small radius centred at 1.",

author = "Vaughan, \{R. C.\}",

year = "1996",

month = apr,

doi = "10.1017/s1446788700037654",

language = "English (US)",

volume = "60",

pages = "260--273",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-7887",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - On the eigenvalues of Redheffer's matrix, II

AU - Vaughan, R. C.

PY - 1996/4

Y1 - 1996/4

N2 - The Redheffer matrix An = (aij)n×n defined by aij = 1 when i|j or j = 1 and aij = 0 otherwise has many interesting number theoretic properties. In this paper we give fairly precise estimates for its eigenvalues in punctured discs of small radius centred at 1.

AB - The Redheffer matrix An = (aij)n×n defined by aij = 1 when i|j or j = 1 and aij = 0 otherwise has many interesting number theoretic properties. In this paper we give fairly precise estimates for its eigenvalues in punctured discs of small radius centred at 1.

UR - https://www.scopus.com/pages/publications/0039336621

UR - https://www.scopus.com/pages/publications/0039336621#tab=citedBy

U2 - 10.1017/s1446788700037654

DO - 10.1017/s1446788700037654

M3 - Article

AN - SCOPUS:0039336621

SN - 1446-7887

VL - 60

SP - 260

EP - 273

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 2

ER -

On the eigenvalues of Redheffer's matrix, II

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this