Orders of CM elliptic curves modulo p with at most two primes

dc.contributor.author	Iwaniec, Henryk
dc.contributor.author	Jiménez Urroz, Jorge
dc.contributor.other	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned	2007-08-02T10:16:38Z
dc.date.available	2007-08-02T10:16:38Z
dc.date.issued	2006
dc.identifier.uri	http://hdl.handle.net/2117/1169
dc.description.abstract	We prove the analog of Koblitz conjecture when replacing primes by almost prime numbers and considering elliptic curves with complex multiplication. In other words for infinitely many primes $p$, (given in a quantitative way describe in the paper), the reduction of an elliptic curve $E$ with complex multiplication has order of size an almost prime number.
dc.format.extent	16 p.
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcsh	Number theory
dc.subject.other	elliptic curves
dc.subject.other	sieve
dc.subject.other	Koblitz conjecture
dc.title	Orders of CM elliptic curves modulo p with at most two primes
dc.type	Article
dc.subject.lemac	Sieve, Mètode de
dc.subject.lemac	Nombres, Teoria dels
dc.contributor.group	Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.subject.ams	Classificació AMS::11 Number theory
dc.rights.access	Open Access
local.personalitzacitacio	true

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