Pregled bibliografske jedinice broj: 84107
Diophantine equations for second order recursive sequences of polynomials
Diophantine equations for second order recursive sequences of polynomials // The Quarterly Journal of Mathematics. Oxford, 52 (2001), 2; 161-169 (međunarodna recenzija, članak, znanstveni)
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Naslov
Diophantine equations for second order recursive sequences of polynomials
Autori
Dujella, Andrej ; Tichy, Robert F.
Izvornik
The Quarterly Journal of Mathematics. Oxford (0033-5606) 52
(2001), 2;
161-169
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fibonacci polynomials; Diophantine equation; recursive sequences
Sažetak
Let B be a nonzero integer. Let define the sequence of polynomials G_n(x) by G_0(x)=0, G_1(x)=1, G_{n+1}(x) = xG_{n}(x) + BG_{n-1}(x). We prove that the diophantine equation G_m(x) = G_n(y) for m,n >= 3, m <> n has only finitely many solutions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037009
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
