Towers of Function Fields over Non-prime Finite Fields

الأصل · EN

Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity A(ℓ), for ℓ = pⁿ with p prime and n>3 odd. We relate the explicit equations to Drinfeld modular varieties.