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Pregled bibliografske jedinice broj: 846014

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Dujella, Andrej; Jukić Bokun, Mirela; Soldo, Ivan
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields // Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 111 (2017), 4; 1177-1185 doi:10.1007/s13398-016-0356-5 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 846014 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Autori
Dujella, Andrej ; Jukić Bokun, Mirela ; Soldo, Ivan

Izvornik
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas (1578-7303) 111 (2017), 4; 1177-1185

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

Ključne riječi
Elliptic curve ; quadratic field ; torsion group ; Diophantine triple

Sažetak
The possible torsion groups of elliptic curves induced by Diophantine triples over quadratic fields, which do not appear over Q, are Z/2Z × Z/10Z, Z/2Z × Z/12Z and Z/4Z × Z/4Z. In this paper, we show that all these torsion groups indeed appear over some quadratic field. Moreover, we prove that there are infinitely many Diophantine triples over quadratic fields which induce elliptic curves with these torsion groups.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
ZCI QuantiXLie
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( 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)

Avatar Url Ivan Soldo (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi link.springer.com doi.org

Citiraj ovu publikaciju:

Dujella, Andrej; Jukić Bokun, Mirela; Soldo, Ivan
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields // Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 111 (2017), 4; 1177-1185 doi:10.1007/s13398-016-0356-5 (međunarodna recenzija, članak, znanstveni)
Dujella, A., Jukić Bokun, M. & Soldo, I. (2017) On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 111 (4), 1177-1185 doi:10.1007/s13398-016-0356-5.
@article{article, author = {Dujella, Andrej and Juki\'{c} Bokun, Mirela and Soldo, Ivan}, year = {2017}, pages = {1177-1185}, DOI = {10.1007/s13398-016-0356-5}, keywords = {Elliptic curve, quadratic field, torsion group, Diophantine triple}, journal = {Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas}, doi = {10.1007/s13398-016-0356-5}, volume = {111}, number = {4}, issn = {1578-7303}, title = {On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields}, keyword = {Elliptic curve, quadratic field, torsion group, Diophantine triple} }
@article{article, author = {Dujella, Andrej and Juki\'{c} Bokun, Mirela and Soldo, Ivan}, year = {2017}, pages = {1177-1185}, DOI = {10.1007/s13398-016-0356-5}, keywords = {Elliptic curve, quadratic field, torsion group, Diophantine triple}, journal = {Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas}, doi = {10.1007/s13398-016-0356-5}, volume = {111}, number = {4}, issn = {1578-7303}, title = {On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields}, keyword = {Elliptic curve, quadratic field, torsion group, Diophantine triple} }

Časopis indeksira:


  • 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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