$F_q$-Linear Calculus over Function Fields
| dc.creator | Kochubei, Anatoly N. | |
| dc.date | 1998-07-15 | |
| dc.date.accessioned | 2026-07-07T05:25:24Z | |
| dc.date.available | 2026-07-07T05:25:24Z | |
| dc.description | We define analogues of higher derivatives for $F_q$-linear functions over the field of formal Laurent series with coefficients in $F_q$. This results in a formula for Taylor coefficients of a $F_q$-linear holomorphic function, a definition of classes of $F_q$-linear smooth functions which are characterized in terms of coefficients of their Fourier-Carlitz expansions. A Volkenborn-type integration theory for $F_q$-linear functions is developed; in particular, an integral representation of the Carlitz logarithm is obtained. | |
| dc.description | 18 pages, LaTex-2e, to appear in Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/9807075 | |
| dc.identifier | http://arxiv.org/abs/math/9807075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77162 | |
| dc.subject | Number Theory | |
| dc.title | $F_q$-Linear Calculus over Function Fields | |
| dc.type | text |