Pregled bibliografske jedinice broj: 787781
There are infinitely many rational Diophantine sextuples
There are infinitely many rational Diophantine sextuples // International mathematics research notices, 2017 (2017), 2; 490-508 doi:10.1093/imrn/rnv376 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 787781 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
There are infinitely many rational Diophantine sextuples
Autori
Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
Izvornik
International mathematics research notices (1073-7928) 2017
(2017), 2;
490-508
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine sextuples ; elliptic curve
Sažetak
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, Gibbs found the first example of a rational Diophantine sextuple. In this paper, we prove that there exist infinitely many rational Diophantine sextuples.
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
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi arxiv.org academic.oup.com academic.oup.comCitiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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
