Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order
| dc.creator | Rubinstein, Boris Y. | |
| dc.creator | Fel, Leonid G. | |
| dc.date | 2003-04-23 | |
| dc.date | 2003-05-16 | |
| dc.date.accessioned | 2026-07-07T04:57:17Z | |
| dc.date.available | 2026-07-07T04:57:17Z | |
| dc.description | Explicit expressions for restricted partition function $W(s,{\bf d}^m)$ and its quasiperiodic components $W_j(s,{\bf d}^m)$ (called {\em Sylvester waves}) for a set of positive integers ${\bf d}^m = \{d_1, d_2, ..., d_m\}$ are derived. The formulas are represented in a form of a finite sum over Bernoulli and Euler polynomials of higher order with periodic coefficients. A novel recursive relation for the Sylvester waves is established. Application to counting algebraically independent homogeneous polynomial invariants of the finite groups is discussed. | |
| dc.description | 15 pages, 2 figures, references added, submitted to The Ramanujan Journal | |
| dc.identifier | https://arxiv.org/abs/math/0304356 | |
| dc.identifier | http://arxiv.org/abs/math/0304356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67211 | |
| dc.subject | Number Theory | |
| dc.subject | 05A17 (Primary); 11P81 (Secondary) | |
| dc.title | Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order | |
| dc.type | text |