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arXiv · 1012.5445

Generalized GCD matrices

Antal Bege
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Abstract

Let $f$ be an arithmetical function. The matrix $[f(i,j)]_{n\times n}$ given by the value of $f$ in greatest common divisor of $(i,j)$, $f\big((i,j)\big)$ as its $i,\; j$ entry is called the greatest common divisor (GCD) matrix. We consider the generalization of this matrix where the elements are in the form $f\big(i,(i,j)\big)$.

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Antal Bege. 2010-12-25. Generalized GCD matrices. https://arxiv.org/abs/1012.5445

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