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Pregled bibliografske jedinice broj: 775866

The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)


Dujella, Andrej; Gusić, Ivica; Tadić, Petra
The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t) // Proceedings of the Japan Academy. Series A Mathematical sciences, 91 (2015), 8; 105-109 doi:10.3792/pjaa.91.105 (međunarodna recenzija, članak, znanstveni)


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Naslov
The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)

Autori
Dujella, Andrej ; Gusić, Ivica ; Tadić, Petra

Izvornik
Proceedings of the Japan Academy. Series A Mathematical sciences (0386-2194) 91 (2015), 8; 105-109

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

Ključne riječi
Elliptic curve ; specialization homomorphism ; rank ; torsion ; generators ; mwrank

Sažetak
For the elliptic curve E over Q(t) found by Kihara, with torsion group Z/4Z and rank ≥ 5, which is the current record for the rank of such curves, by using a suitable injective specialization, we determine exactly the rank and generators of E(Q(t)).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
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,
Fakultet kemijskog inženjerstva i tehnologije, Zagreb,
Sveučilište Jurja Dobrile u Puli

Profili:

Avatar Url Andrej Dujella (autor)

Avatar Url Petra Rihter Tadić (autor)

Avatar Url Ivica Gusić (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi projecteuclid.org

Citiraj ovu publikaciju:

Dujella, Andrej; Gusić, Ivica; Tadić, Petra
The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t) // Proceedings of the Japan Academy. Series A Mathematical sciences, 91 (2015), 8; 105-109 doi:10.3792/pjaa.91.105 (međunarodna recenzija, članak, znanstveni)
Dujella, A., Gusić, I. & Tadić, P. (2015) The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t). Proceedings of the Japan Academy. Series A Mathematical sciences, 91 (8), 105-109 doi:10.3792/pjaa.91.105.
@article{article, author = {Dujella, Andrej and Gusi\'{c}, Ivica and Tadi\'{c}, Petra}, year = {2015}, pages = {105-109}, DOI = {10.3792/pjaa.91.105}, keywords = {Elliptic curve, specialization homomorphism, rank, torsion, generators, mwrank}, journal = {Proceedings of the Japan Academy. Series A Mathematical sciences}, doi = {10.3792/pjaa.91.105}, volume = {91}, number = {8}, issn = {0386-2194}, title = {The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)}, keyword = {Elliptic curve, specialization homomorphism, rank, torsion, generators, mwrank} }
@article{article, author = {Dujella, Andrej and Gusi\'{c}, Ivica and Tadi\'{c}, Petra}, year = {2015}, pages = {105-109}, DOI = {10.3792/pjaa.91.105}, keywords = {Elliptic curve, specialization homomorphism, rank, torsion, generators, mwrank}, journal = {Proceedings of the Japan Academy. Series A Mathematical sciences}, doi = {10.3792/pjaa.91.105}, volume = {91}, number = {8}, issn = {0386-2194}, title = {The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)}, keyword = {Elliptic curve, specialization homomorphism, rank, torsion, generators, mwrank} }

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


Citati:





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