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Author | dc.contributor.author | Belabas, Karim | |
Author | dc.contributor.author | Díaz y Díaz, Francisco | |
Author | dc.contributor.author | Friedman Rafael, Eduardo | |
Admission date | dc.date.accessioned | 2018-12-20T14:11:47Z | |
Available date | dc.date.available | 2018-12-20T14:11:47Z | |
Publication date | dc.date.issued | 2008 | |
Cita de ítem | dc.identifier.citation | Mathematics of Computation, Volumen 77, Issue 262, 2018, Pages 1185-1197 | |
Identifier | dc.identifier.issn | 00255718 | |
Identifier | dc.identifier.other | 10.1090/S0025-5718-07-02003-0 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/154648 | |
Abstract | dc.description.abstract | Assuming the Generalized Riemann Hypothesis, Bach has shown that the ideal class group CIK of a number field K can be generated by the prime ideals of K having norm smaller than 12(log |Discriminant(K)|)2 . This result is essential for the computation of the class group and units of K by Buchmann's algorithm, currently the fastest known. However, once CIK has been computed, one notices that this bound could have been replaced by a much smaller value, and so much work could have been saved. We introduce here a short algorithm which allows us to reduce Bach's bound substantially, usually by a factor 20 or so. The bound produced by the algorithm is asymptotically worse than Bach's, but favorable constants make it useful in practice. ©2007 American Mathematical Society. | |
Lenguage | dc.language.iso | en | |
Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
Source | dc.source | Mathematics of Computation | |
Keywords | dc.subject | Generalized Riemann hypothesis | |
Keywords | dc.subject | Ideal class group | |
Título | dc.title | Small generators of the ideal class group | |
Document type | dc.type | Artículo de revista | |
dcterms.accessRights | dcterms.accessRights | Acceso Abierto | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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