Pregled bibliografske jedinice broj: 522767
The relative upper bound for the third element in a D(−1)-quadruple
The relative upper bound for the third element in a D(−1)-quadruple // Mathematical Communications, 17 (2012), 1; 13-19 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 522767 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The relative upper bound for the third element in a D(−1)-quadruple
Autori
Filipin, Alan ; Fujita, Yasutsugu
Izvornik
Mathematical Communications (1331-0623) 17
(2012), 1;
13-19
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 D(−1)-m-tuple if the product of any distinct two elements in the set decreased by one is a perfect square. In this paper, we show that if {; ; 1, b, c, d}; ; with b < c < d is a D(−1)-quadruple, then c < 9.6b^4.
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
