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

11 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

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10.1017/s1446788700037654

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abstract = "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.",

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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.

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On the eigenvalues of Redheffer's matrix, II

Abstract

All Science Journal Classification (ASJC) codes

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