Pregled bibliografske jedinice broj: 45857
Irregular Diophantine m-tuples and elliptic curves of high rank
Irregular Diophantine m-tuples and elliptic curves of high rank // Proceedings Of The Japan Academy Series A-Mathematical Sciences, 76 (2000), 66-67 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 45857 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Irregular Diophantine m-tuples and elliptic curves of high rank
Autori
Dujella, Andrej
Izvornik
Proceedings Of The Japan Academy Series A-Mathematical Sciences (0386-2194) 76
(2000);
66-67
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves; rank
Sažetak
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them is one less than a perfect square. In this paper we characterize the notions of regular Diophantine quadruples and quintuples, introduced by Gibbs, by means of elliptic curves. Motivated by these characterizations, we find examples of elliptic curves over Q with torsion group Z/2Z * Z/2Z and with rank equal to 8.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037009
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, 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
