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https://doi.org/10.3336/gm.55.1.03

Markoff-Rosenberger triples with Fibonacci components

Szabolcs Tengelys ; Department of Mathematics, University of Debrecen, P.O.Box 12, 4010 Debrecen, Hungary and Department of Mathematics and Informatics, J. Selye University, Hradna ul. 21, 94501 Komarno, Slovakia

Puni tekst: engleski, pdf (112 KB) str. 29-36 preuzimanja: 190* citiraj
APA 6th Edition
Tengelys, S. (2020). Markoff-Rosenberger triples with Fibonacci components. Glasnik matematički, 55 (1), 29-36. https://doi.org/10.3336/gm.55.1.03
MLA 8th Edition
Tengelys, Szabolcs. "Markoff-Rosenberger triples with Fibonacci components." Glasnik matematički, vol. 55, br. 1, 2020, str. 29-36. https://doi.org/10.3336/gm.55.1.03. Citirano 21.10.2021.
Chicago 17th Edition
Tengelys, Szabolcs. "Markoff-Rosenberger triples with Fibonacci components." Glasnik matematički 55, br. 1 (2020): 29-36. https://doi.org/10.3336/gm.55.1.03
Harvard
Tengelys, S. (2020). 'Markoff-Rosenberger triples with Fibonacci components', Glasnik matematički, 55(1), str. 29-36. https://doi.org/10.3336/gm.55.1.03
Vancouver
Tengelys S. Markoff-Rosenberger triples with Fibonacci components. Glasnik matematički [Internet]. 2020 [pristupljeno 21.10.2021.];55(1):29-36. https://doi.org/10.3336/gm.55.1.03
IEEE
S. Tengelys, "Markoff-Rosenberger triples with Fibonacci components", Glasnik matematički, vol.55, br. 1, str. 29-36, 2020. [Online]. https://doi.org/10.3336/gm.55.1.03

Sažetak
We characterize the solutions of the Markoff-Rosenberger equation

a x2 + b y2 + c z2 = d x y z

with a,b,c,d ∈ ℤ, gcd(a,b)=gcd(a,c)=gcd(b,c)=1 and a,b,c | d, for which (x,y,z)=(Fi,Fj,Fk), where Fn denotes the n-th Fibonacci number for any integer n≥ 0.

Ključne riječi
Fibonacci numbers; Markoff equation

Hrčak ID: 239040

URI
https://hrcak.srce.hr/239040

Posjeta: 304 *