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86
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COMBINATORICS
1999
70views more  COMBINATORICS 1999»
15 years 4 days ago
Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences
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...
Michael E. Hoffman
99
Voted
ITA
2002
15 years 5 days ago
On multiplicatively dependent linear numeration systems, and periodic points
Abstract. Two linear numeration systems, with characteristic polynomial equal to the minimal polynomial of two Pisot numbers and respectively, such that and are multiplicatively...
Christiane Frougny
97
Voted
OL
2008
54views more  OL 2008»
15 years 13 days ago
On hyperbolicity cones associated with elementary symmetric polynomials
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...
Yuriy Zinchenko
107
Voted
EJC
2010
15 years 17 days ago
Descent polynomials for permutations with bounded drop size
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...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...
DM
2008
112views more  DM 2008»
15 years 17 days ago
Orbit-counting polynomials for graphs and codes
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...
Peter J. Cameron, Bill Jackson, Jason D. Rudd