Pregled bibliografske jedinice broj: 646268
On the torsion group of elliptic curves induced by D(4)-triples
On the torsion group of elliptic curves induced by D(4)-triples // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 22 (2014), 2; 79-90 doi:10.2478/auom-2014-0033 (međunarodna recenzija, članak, znanstveni)
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Naslov
On the torsion group of elliptic curves induced by D(4)-triples
Autori
Dujella, Andrej ; Mikić, Miljen
Izvornik
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica (1224-1784) 22
(2014), 2;
79-90
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
D(4)-triples ; elliptic curves ; torsion group
Sažetak
A D(4)-m-tuple is a set of m integers such that the product of any two of them increased by 4 is a perfect square. A problem of extendibility of D(4)-m-tuples is closely connected with the properties of elliptic curves associated with them. In this paper we prove that the torsion group of an elliptic curve associated with a D(4)-triple can be either Z/2Z × Z/2Z or Z/2Z × Z/6Z, except for the D(4)-triple {; ; ; ; ; −1, 3, 4}; ; ; ; ; when the torsion group is Z/2Z × Z/4Z.
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)
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:
Andrej Dujella
(autor)
Citiraj ovu publikaciju:
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
