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On the eigenvalues of Redheffer's matrix, II

Part of: Multiplicative number theory Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  09 April 2009

R. C. Vaughan
R. C. Vaughan
Affiliation:
Department of MathematicsImperial CollegeLondon SW7 2BZUK e-mail: r.vaughan@ic.ac.uk
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Abstract

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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.

MSC classification

Secondary: 11M26: Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses 11N37: Asymptotic results on arithmetic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 2 , April 1996 , pp. 260 - 273
Copyright
Copyright © Australian Mathematical Society 1996

References

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