Published January 1, 2015
| Version v1
Journal article
Open
TOWERS OF FUNCTION FIELDS OVER NON-PRIME FINITE FIELDS
- 1. Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey
- 2. Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark
- 3. Inst Nacl Matemat Pura & Aplicada, IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil
Description
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvemient on all known lower bounds for Thara's quantity A(l), for l - p(n) with p prime and n > 3 odd. We relate the explicit equations to Drinfeld modular varieties.
Files
bib-a617c096-1906-4675-bff5-8f48914a47d6.txt
Files
(157 Bytes)
| Name | Size | Download all |
|---|---|---|
|
md5:ec5ce600105c82ab677b55aa1d53368f
|
157 Bytes | Preview Download |