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- W1892073095 abstract "For a nonempty finite set $A$ of positive integers, let $gcdleft(Aright)$ denote the greatest common divisor of the elements of $A$. Let $fleft(nright)$ and $Phileft(nright)$ denote, respectively, the number of subsets $A$ of $left{1, 2, ldots, nright}$ such that $gcdleft(Aright) = 1$ and the number of subsets $A$ of $left{1, 2, ldots, nright}$ such that $gcdleft(Acupleft{nright}right) =1$. Let $Dleft(nright)$ be the divisor sum of $fleft(nright)$. In this article, we obtain partial sums of $fleft(nright)$, $Phileft(nright)$ and $Dleft(nright)$. We also obtain a combinatorial interpretation and a congruence property of $Dleft(nright)$. We give open questions concerning $Phileft(nright)$ and $Dleft(nright)$ at the end of this article." @default.
- W1892073095 created "2016-06-24" @default.
- W1892073095 creator A5038954127 @default.
- W1892073095 date "2013-06-20" @default.
- W1892073095 modified "2023-09-27" @default.
- W1892073095 title "Relatively Prime Sets, Divisor Sums, and Partial Sums" @default.
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