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Pregled bibliografske jedinice broj: 567940

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Dujella, Andrej; Najman, Filip
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization // Periodica mathematica Hungarica, 65 (2012), 2; 193-203 doi:10.1007/s10998-012-8257-7 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 567940 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Autori
Dujella, Andrej ; Najman, Filip

Izvornik
Periodica mathematica Hungarica (0031-5303) 65 (2012), 2; 193-203

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Torsion group ; rank ; elliptic curves ; number fields

Sažetak
In this paper, we present several methods for construction of elliptic curves with large torsion group and positive rank over number elds of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
MZOS-037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Filip Najman (autor)

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi www.springerlink.com

Citiraj ovu publikaciju:

Dujella, Andrej; Najman, Filip
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization // Periodica mathematica Hungarica, 65 (2012), 2; 193-203 doi:10.1007/s10998-012-8257-7 (međunarodna recenzija, članak, znanstveni)
Dujella, A. & Najman, F. (2012) Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization. Periodica mathematica Hungarica, 65 (2), 193-203 doi:10.1007/s10998-012-8257-7.
@article{article, author = {Dujella, Andrej and Najman, Filip}, year = {2012}, pages = {193-203}, DOI = {10.1007/s10998-012-8257-7}, keywords = {Torsion group, rank, elliptic curves, number fields}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-012-8257-7}, volume = {65}, number = {2}, issn = {0031-5303}, title = {Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization}, keyword = {Torsion group, rank, elliptic curves, number fields} }
@article{article, author = {Dujella, Andrej and Najman, Filip}, year = {2012}, pages = {193-203}, DOI = {10.1007/s10998-012-8257-7}, keywords = {Torsion group, rank, elliptic curves, number fields}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-012-8257-7}, volume = {65}, number = {2}, issn = {0031-5303}, title = {Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization}, keyword = {Torsion group, rank, elliptic curves, number fields} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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