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Volume 8, Issue 4, Article 97 |
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On the Maximum Row and Column Sum Norm of GCD and Related Matrices
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Authors: |
Pentti Haukkanen, |
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Keywords:
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GCD matrix, LCM matrix, Smith's determinant, Maximum row sum norm, Maximum column sum norm, $O$-estimate. |
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Date Received:
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11/07/07 |
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Date Accepted:
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27/10/07 |
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Subject Codes: |
11C20; 15A36; 11A25.
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Editors: |
László Tóth, |
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Abstract: |
We estimate the maximum row and column sum norm of the  matrix, whose  entry is ![$ (i, j)^{s}/[i, j]^{r}$](images/231_07_JIPAM/img3.gif) , where  ,  is the greatest common divisor of  and  and ![$ [i, j]$](images/231_07_JIPAM/img8.gif) is the least common multiple of and .
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