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Moscow Mathematical Journal, 2015, Volume 15, Number 1, Pages 1–29
DOI: https://doi.org/10.17323/1609-4514-2015-15-1-1-29 (Mi mmj546) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Towers of function fields over non-prime finite fields

Alp Bassaa, Peter Beelenb, Arnaldo Garciac, Henning Stichtenotha

a Sabancı University, MDBF, 34956 Tuzla, İstanbul, Turkey
b Technical University of Denmark, Department of Applied Mathematics and Computer Science, Matematiktorvet, Building 303B, DK-2800, Lyngby, Denmark
c Instituto Nacional de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil
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DOI: https://doi.org/10.17323/1609-4514-2015-15-1-1-29
Abstract: 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 $A(\ell)$, for $\ell=p^n$ with $p$ prime and $n>3$ odd. We relate the explicit equations to Drinfeld modular varieties.
Key words and phrases: curves with many points, towers of function fields, genus, rational places, Ihara's constant.
Received: July 2, 2014
Bibliographic databases:
Document Type: Article
MSC: 11G20, 11G09, 11R58
Language: English
Citation: Alp Bassa, Peter Beelen, Arnaldo Garcia, Henning Stichtenoth, “Towers of function fields over non-prime finite fields”, Mosc. Math. J., 15:1 (2015), 1–29
Citation in format AMSBIB
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\by Alp~Bassa, Peter~Beelen, Arnaldo~Garcia, Henning~Stichtenoth
\paper Towers of function fields over non-prime finite fields
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 1
\pages 1--29
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-1-1-29}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3427409}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000354886200001}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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