Pregled bibliografske jedinice broj: 164718
Fibonacci numbers and sets with the property D(4)
Fibonacci numbers and sets with the property D(4) // Bulletin of the Belgian Mathematical Society Simon Stevin, 12 (2005), 3; 401-412 (međunarodna recenzija, članak, znanstveni)
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Naslov
Fibonacci numbers and sets with the property D(4)
Autori
Dujella, Andrej ; Ramasamy, A.M.S.
Izvornik
Bulletin of the Belgian Mathematical Society Simon Stevin (1370-1444) 12
(2005), 3;
401-412
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuple; Fibonacci numbers; simultaneous Pellian equations
Sažetak
It is proved that if k and d are positive integers such that the product of any two distinct elements of the set {; ; F_{; ; 2k}; ; , 5F_{; ; 2k}; ; , 4F_{; ; 2k+2}; ; , d}; ; increased by 4 is a perfect square, than d = 4L_{; ; 2k}; ; F_{; ; 4k+2}; ; . This is a generalization of the results of Kedlaya, Mohanty and Ramasamy for k=1.
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:
- 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::
- Mathematical Reviews
- Zentralblatt MATH
