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 | |