✦ LIBER ✦
On Discriminant Functions Associated to Drinfeld Modules of Rank 1
✍ Scribed by H. Oukhaba
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 470 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Let (k) be a global function field with constant field (\mathbb{F}{q}). Let (\infty) be a place of (k) and let (\mathbb{c}{k}) be the ring of functions regular outside of (\propto). Once a sign function has been chosen, one can define a discriminant function on the set of rank 1 Drinfeld (\mathfrak{O}_{k})-modules. In this paper, the connection between sign functions and discriminant functions is clarified. Moreover, building on previous work of Hayes, some arithmetic properties of exponential functions of rank 1 lattices are also presented. (i) 1994 Academic Press, Inc