Yayınlanmış 1 Ocak 2015 | Sürüm v1
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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

Açıklama

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.

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