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COMBINATORICS
1999
13 years 4 months ago
1999
Let Pn and Qn be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomia...
ITA
2002
13 years 4 months ago
2002
Abstract. Two linear numeration systems, with characteristic polynomial equal to the minimal polynomial of two Pisot numbers and respectively, such that and are multiplicatively...
OL
2008
13 years 4 months ago
2008
Elementary symmetric polynomials can be thought of as derivative polynomials of En(x) = i=1,...,n xi. Their associated hyperbolicity cones give a natural sequence of relaxations f...
EJC
2010
13 years 4 months ago
2010
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
DM
2008
13 years 4 months ago
2008
We construct an "orbital Tutte polynomial" associated with a dual pair M and M of matrices over a principal ideal domain R and a group G of automorphisms of the row spac...