dc.creator | Rojas León, Antonio | es |
dc.creator | Wan, Daqing | es |
dc.date.accessioned | 2016-06-08T07:01:37Z | |
dc.date.available | 2016-06-08T07:01:37Z | |
dc.date.issued | 2011-10 | |
dc.identifier.citation | Rojas León, A. y Wan, D. (2011). Improvements of the Weil bound for Artin-Schreier curves. Mathematische Annalen, 351 (2), 417-442. | |
dc.identifier.issn | 0025-5831 | es |
dc.identifier.issn | 1432-1807 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42021 | |
dc.description.abstract | For the Artin-Schreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for the number of Fq r -rational
points can be sharp, especially in super-singular cases and when r is divisible. In this paper, we show how the Weil bound can be significantly improved, using ideas from moment L-functions and Katz’s work on l-adic monodromy calculations. Roughly speaking, we show that in favorable cases (which happens quite often), one can remove an extra √q factor in the error term. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | National Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Mathematische Annalen, 351 (2), 417-442. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Improvements of the Weil bound for Artin-Schreier curves | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | P08-FQM-03894 | es |
dc.relation.projectID | MTM2007-66929 | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s00208-010-0606-3 | es |
idus.format.extent | 21 p. | es |
dc.journaltitle | Mathematische Annalen | es |
dc.publication.volumen | 351 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 417 | es |
dc.publication.endPage | 442 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42021 | |