Average Norms of j-Invariants of Drinfeld Modules
โ Scribed by Zesen Chen; David R Hayes
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 136 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We classify isogeny classes of Drinfeld modules over a finite field in terms of Weil numbers. A precise result on isomorphism classes in an isogeny class is given for rank \(2 \mathbf{F}_{r}[T]\)-modules. 1995 Academic Press. Inc.
Let A=F q [T ], and let , be a Drinfeld A-module of rank r 2 over F q (T ). For each prime p # A which is a prime of good reduction for ,, let a p (,) be the trace of the Frobenius endomorphism at p. We study in this paper the distribution of the traces a p (,), and we show that for any t # A and an
We collect some facts about Drinfeld modular curves for a polynomial ring F q [T ] over a finite field F q . These include formulas for the genera, the numbers of cusps and elliptic points, descriptions of the function fields and fields of definition, and other rationality properties. We then show t