Sylvester Waves in the Coxeter Groups
| dc.creator | Fel, Leonid G. | |
| dc.creator | Rubinstein, Boris Y. | |
| dc.date | 2000-05-17 | |
| dc.date.accessioned | 2026-07-07T04:35:20Z | |
| dc.date.available | 2026-07-07T04:35:20Z | |
| dc.description | A new recursive procedure of the calculation of partition numbers function $W(s,{\bf d}^m)$ is suggested. We find its zeroes and prove a lemma on the function parity properties. The explicit formulas of $W(s,{\bf d}^m)$ and their periods $τ(G)$ for the irreducible Coxeter groups and a list for the first ten symmetric group ${\cal S}_m$ are presented. A {\it least common multiple} ${\cal L}(m)$ of the series of the natural numbers 1,2,..,$m$ plays a role of the period $τ({\cal S}_m)$ of $W(s,{\bf d}^m)$ in ${\cal S}_m$. An asymptotic behaviour of ${\cal L}(m)$ with $m \to \infty$ is found. | |
| dc.description | One figure, 21 pages, submitted to Quart. J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0005174 | |
| dc.identifier | http://arxiv.org/abs/math/0005174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59221 | |
| dc.subject | Number Theory | |
| dc.title | Sylvester Waves in the Coxeter Groups | |
| dc.type | text |