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Georgian Mathematical Journal 13 (2006), No. 4, 783--786
Copyright Heldermann Verlag 2006

Some Properties of the Inversion Counting Function

Neville Robbins
Mathematics Department, San Francisco State University, San Francisco, CA 94132, U.S.A.
robbins@math.sfsu.edu


[Abstract-pdf]

Let $h, k$ be integers such that $0 r_j$, this is called an inversion of $\sigma_{h,k}$. Let $I(h,k)$ denote the total number of inversions of $\sigma_{h,k}$. In this note, we prove several identities concerning $I(h,k)$.

Keywords: Inversions, Dedeking sums.

MSC: 11A25

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