The formal series Witt transform
| dc.creator | Moree, Pieter | |
| dc.date | 2003-11-12 | |
| dc.date | 2005-03-31 | |
| dc.date.accessioned | 2026-07-07T05:02:50Z | |
| dc.date.available | 2026-07-07T05:02:50Z | |
| dc.description | Given a formal power series f(z) we define, for any positive integer r, its rth Witt transform, W_f^{(r)}, by rW_f^{(r)}(z)=sum_{d|r}mu(d)f(z^d)^{r/d}, where mu is the Moebius function. The Witt transform generalizes the necklace polynomials M(a,n) that occur in the cyclotomic identity 1-ay=prod (1-y^n)^{M(a,n)}, where the product is over all positive integers. Several properties of the Witt transform are established. Some examples relevant to number theory are considered. | |
| dc.description | 18 pages, small improvements in contents and presentation, to appear in Discrete Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0311194 | |
| dc.identifier | http://arxiv.org/abs/math/0311194 | |
| dc.identifier | Discrete Mathematics 295 (2005), 143-160 | |
| dc.identifier | doi:10.1016/j.disc.2005.03.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69166 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 05A19; 11B75; 17B01 | |
| dc.title | The formal series Witt transform | |
| dc.type | text |