Exponential functions in prime characteristic
| dc.creator | Mattarei, Sandro | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:54Z | |
| dc.date.available | 2026-07-07T06:50:54Z | |
| dc.description | In this note we determine all power series $F(X)\in 1+X\F_p[[X]]$ such that $(F(X+Y))^{-1} F(X)F(Y)$ has only terms of total degree a multiple of $p$. Up to a scalar factor, they are all the series of the form $F(X)=E_p(cX)\cdot G(X^p)$ for some $c\in\F_p$ and $G(X)\in 1+X\F_p[[X]]$, where $E_p(X)=\exp\big(\sum_{i=0}^{\infty}X^{p^i}/p^i\big)$ is the Artin-Hasse exponential. | |
| dc.description | 6 pages, to be published in Aequationes Math | |
| dc.identifier | https://arxiv.org/abs/math/0511168 | |
| dc.identifier | http://arxiv.org/abs/math/0511168 | |
| dc.identifier | Aequationes Math. 71 (2006), no. 3, 311-317 | |
| dc.identifier | doi:10.1007/s00010-005-2816-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104812 | |
| dc.subject | General Mathematics | |
| dc.subject | 39B50 | |
| dc.title | Exponential functions in prime characteristic | |
| dc.type | text |