Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function
| dc.creator | Rubinstein, Boris Y. | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:34:37Z | |
| dc.date.available | 2026-07-07T07:34:37Z | |
| dc.description | Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.e., a number of integer solutions to a linear system ${\bf x} \ge 0, {\bf D x} = {\bf s}$. It is shown that $W({\bf s},{\bf D})$ can be expressed through the vector Bernoulli polynomials of higher order. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612076 | |
| dc.identifier | http://arxiv.org/abs/math/0612076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119826 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 11P81; 11B68 | |
| dc.title | Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function | |
| dc.type | text |