dc.contributor.author Elkies, Noam dc.date.accessioned 2009-05-21T18:34:42Z dc.date.issued 1997 dc.identifier.citation Elkies, Noam D. 1997. Explicit modular towers. In Proceedings of the Thirty-fifth annual Allerton conference on communication, control and computing. ed. Basar, Tamer, and Alexander Vardy, 23-32. Univ. of Illinois at Urbana-Champaign 1998. en dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:2963974 dc.description.abstract We give a general recipe for explicitly constructing asymptotically optimal towers of modular curves such as $\{X_0(l^n)\}_{n>1}$. We illustrate the method by giving equations for eight towers with various geometric features. We conclude by observing that such towers are all of a specific recursive form, and speculate that perhaps every tower of this form that attains the Drinfeld-Vladut bound is modular. en dc.description.sponsorship Mathematics en dc.language.iso en_US en dc.relation.isversionof en dc.relation.hasversion http://www.math.harvard.edu/~elkies/math_pubs.html en dc.relation.hasversion http://arxiv.org/abs/math/0103107 en dash.license LAA dc.title Explicit Modular Towers en dc.relation.journal Proceedings of the Thirty-Fifth Annual Allerton Conference on Communication, Control and Computing en dash.depositing.author Elkies, Noam dash.contributor.affiliated Elkies, Noam
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