139 citations
- University of California, DavisUS9 papers
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- Max Planck Institute for the Physics of Complex SystemsDE2 papers
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4 papers · 1 filter
A prime sensitive Hankel determinant of Jacobi symbol enumerators
Omer Egecioglu
We show that the determinant of a Hankel matrix of odd dimension n whose entries are the enumerators of the Jacobi symbols which depend on the row and the column indices vanishes i…
Enumerating (multiplex) juggling sequences
Steve Butler, Ron Graham
We consider the problem of enumerating periodic -juggling sequences of length for multiplex juggling, where is the initial state (or {\em landing schedule}) of the balls…
Classifying Descents According to Parity
Sergey Kitaev, Jeffrey Remmel
In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…
Correlation functions for random involutions
Peter J. Forrester, Taro Nagao, Eric M. Rains
Our interest is in the scaled joint distribution associated with -increasing subsequences for random involutions with a prescribed number of fixed points. We proceed by specifyi…