Can a Drinfeld module be modular?
| dc.creator | Goss, David | |
| dc.date | 2002-10-24 | |
| dc.date | 2003-01-05 | |
| dc.date.accessioned | 2026-07-07T04:52:19Z | |
| dc.date.available | 2026-07-07T04:52:19Z | |
| dc.description | Let $k$ be a global function field with field of constants $\Fr$ and let $\infty$ be a fixed place of $k$. In his habilitation thesis \cite{boc2}, Gebhard Böckle attaches abelian Galois representations to characteristic $p$ valued cusp eigenforms and double cusp eigenforms \cite{go1} such that Hecke eigenvalues correspond to the image of Frobenius elements. In the case where $k=\Fr(T)$ and $\infty$ corresponds to the pole of $T$, it then becomes reasonable to ask whether rank 1 Drinfeld modules over $k$ are themselves ``modular'' in that their Galois representations arise from a cusp or double cusp form. This paper gives an introduction to \cite{boc2} with an emphasis on modularity and closes with some specific questions raised by Böckle's work. | |
| dc.description | Final corrected version | |
| dc.identifier | https://arxiv.org/abs/math/0210388 | |
| dc.identifier | http://arxiv.org/abs/math/0210388 | |
| dc.identifier | Journal of the Ramanujan Math. Soc. {\bf 17} No. 4 (2002) 221-260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65425 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F52 | |
| dc.title | Can a Drinfeld module be modular? | |
| dc.type | text |