Pregled bibliografske jedinice broj: 1166172
On elliptic curves induced by rational Diophantine quadruples
On elliptic curves induced by rational Diophantine quadruples // Proceedings of the Japan Academy. Series A Mathematical sciences, 98 (2022), 1; 1-6 doi:10.3792/pjaa.98.001 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1166172 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On elliptic curves induced by rational Diophantine
quadruples
Autori
Dujella, Andrej ; Soydan, Gökhan
Izvornik
Proceedings of the Japan Academy. Series A Mathematical sciences (0386-2194) 98
(2022), 1;
1-6
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine quadruples ; elliptic curves ; torsion group ; rank
Sažetak
In this paper, we consider elliptic curves induced by rational Diophantine quadruples, i.e. sets of four nonzero rationals such that the product of any two of them plus 1 is a perfect square. We show that for each of the groups Z/2Z × Z/kZ for k = 2, 4, 6, 8, there are infinitely many rational Diophantine quadruples with the property that the induced elliptic curve has this torsion group. We also construct curves with moderately large rank in each of these four cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Andrej Dujella
(autor)
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi projecteuclid.org projecteuclid.orgCitiraj 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
