Open Access

An upper bound for the norm of a GCD-related matrix

Journal of Inequalities and Applications20062006:25020

DOI: 10.1155/JIA/2006/25020

Received: 10 November 2004

Accepted: 9 February 2005

Published: 6 February 2006


We find an upper bound for the norm of the matrix whose entry is , where and are the greatest common divisor and the least common multiple of and and where and are real numbers. In fact, we show that if and , then for all positive integers , where is the Riemann zeta function.


Authors’ Affiliations

Department of Mathematics, Statistics and Philosophy, University of Tampere


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© Haukkanen 2006

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