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Pregled bibliografske jedinice broj: 589579

High rank elliptic curves with prescribed torsion group over quadratic fields

Aguirre, Julian; Dujella, Andrej; Jukić Bokun, Mirela; Peral, Juan Carlos
High rank elliptic curves with prescribed torsion group over quadratic fields // Periodica mathematica Hungarica, 68 (2014), 2; 222-230 doi:10.1007/s10998-014-0032-5 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 589579 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
High rank elliptic curves with prescribed torsion group over quadratic fields

Autori
Aguirre, Julian ; Dujella, Andrej ; Jukić Bokun, Mirela ; Peral, Juan Carlos

Izvornik
Periodica mathematica Hungarica (0031-5303) 68 (2014), 2; 222-230

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

Ključne riječi
elliptic curves; rank; torsion group; quadratic fields

Sažetak
There are 26 possibilities for the torsion group of elliptic curves defined over quadratic number fields. We present examples of high rank elliptic curves with given torsion group which give the current records for most of the torsion groups. In particular, we show that for each possible torsion group, except maybe for Z/15Z, there exist an elliptic curve over some quadratic field with this torsion group and with rank >= 2.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
235-2352818-1042 - Pasivna kontrola mehaničkih modela (Truhar, Ninoslav, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Mirela Jukić Bokun (autor)

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi link.springer.com

Citiraj ovu publikaciju:

Aguirre, Julian; Dujella, Andrej; Jukić Bokun, Mirela; Peral, Juan Carlos
High rank elliptic curves with prescribed torsion group over quadratic fields // Periodica mathematica Hungarica, 68 (2014), 2; 222-230 doi:10.1007/s10998-014-0032-5 (međunarodna recenzija, članak, znanstveni)
Aguirre, J., Dujella, A., Jukić Bokun, M. & Peral, J. (2014) High rank elliptic curves with prescribed torsion group over quadratic fields. Periodica mathematica Hungarica, 68 (2), 222-230 doi:10.1007/s10998-014-0032-5.
@article{article, author = {Aguirre, Julian and Dujella, Andrej and Juki\'{c} Bokun, Mirela and Peral, Juan Carlos}, year = {2014}, pages = {222-230}, DOI = {10.1007/s10998-014-0032-5}, keywords = {elliptic curves, rank, torsion group, quadratic fields}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-014-0032-5}, volume = {68}, number = {2}, issn = {0031-5303}, title = {High rank elliptic curves with prescribed torsion group over quadratic fields}, keyword = {elliptic curves, rank, torsion group, quadratic fields} }
@article{article, author = {Aguirre, Julian and Dujella, Andrej and Juki\'{c} Bokun, Mirela and Peral, Juan Carlos}, year = {2014}, pages = {222-230}, DOI = {10.1007/s10998-014-0032-5}, keywords = {elliptic curves, rank, torsion group, quadratic fields}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-014-0032-5}, volume = {68}, number = {2}, issn = {0031-5303}, title = {High rank elliptic curves with prescribed torsion group over quadratic fields}, keyword = {elliptic curves, rank, torsion group, quadratic 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::


  • Mathematical Reviews
  • Zentralblatt Math
  • SCOPUS

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