1029-242X-2006-25020 1029-242X Research Article <p>An upper bound for the <inline-formula><graphic file="1029-242X-2006-25020-i1.gif"/></inline-formula> norm of a GCD-related matrix</p> HaukkanenPenttimapehau@uta.fi

Department of Mathematics, Statistics and Philosophy, University of Tampere, Tampere 33014, Finland

 Journal of Inequalities and Applications 1029-242X 2006 2006 1 25020 http://www.journalofinequalitiesandapplications.com/content/2006/1/25020 10.1155/JIA/2006/25020 101120041212005922005622006 2006HaukkanenThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.

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