Pregled bibliografske jedinice broj: 566432
The number of Diophantine quintuples II
The number of Diophantine quintuples II // PUBLICATIONES MATHEMATICAE-DEBRECEN, 82 (2013), 2; 293-308 doi:10.5486/PMD.2013.5200 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 566432 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The number of Diophantine quintuples II
Autori
Filipin, Alan ; Fujita, Yasutsugu
Izvornik
PUBLICATIONES MATHEMATICAE-DEBRECEN (0033-3883) 82
(2013), 2;
293-308
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine tuples; system of Diophantine equations
Sažetak
A set of m distinct positive integers is called a Diophantine m-tuple if the product of any two of its distinct elements increased by 1 is a perfect square. It is known that there does not exist a Diophantine sextuple and that there are only finitely many Diophantine quintuples. In this paper, we prove that there are at most 10^96 Diophantine quintuples, which improves the known bounds.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Alan Filipin
(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
