Pregled bibliografske jedinice broj: 83710
An extension of an old problem of Diophantus and Euler. II
An extension of an old problem of Diophantus and Euler. II // The Fibonacci Quarterly, 40 (2002), 2; 118-123 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 83710 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An extension of an old problem of Diophantus and Euler. II
Autori
Dujella, Andrej
Izvornik
The Fibonacci Quarterly (0015-0517) 40
(2002), 2;
118-123
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Eulerian quintuples; Diophantine quintuples; elliptic curves
Sažetak
Diophantus found three rationals 3/10, 21/5, 7/10 with the property that the product of any two of them increased by the sum of those two gives a perfect square, and Euler found four rationals 65/224, 9/224, 9/56, 5/2 with the same property. In this paper we construct an infinite family of rational quintuples with the same property. The construction is based on the fact that there are infinitely many rational points on the curve y^2 = -(x^2-x-3)(x^2+2x-12)
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037110
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt fur Mathematik
