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https://doi.org/10.3336/gm.52.1.03

Diophantine triples with values in the sequences of Fibonacci and Lucas numbers

Florian Luca   ORCID icon orcid.org/0000-0003-1321-4422 ; The John Knopfmacher Centre for Applicable Analysis and Number Theory, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa
Augustine O. Munagi ; The John Knopfmacher Centre for Applicable Analysis and Number Theory, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa

Puni tekst: engleski, pdf (180 KB) str. 23-43 preuzimanja: 274* citiraj
APA 6th Edition
Luca, F. i Munagi, A.O. (2017). Diophantine triples with values in the sequences of Fibonacci and Lucas numbers. Glasnik matematički, 52 (1), 23-43. https://doi.org/10.3336/gm.52.1.03
MLA 8th Edition
Luca, Florian i Augustine O. Munagi. "Diophantine triples with values in the sequences of Fibonacci and Lucas numbers." Glasnik matematički, vol. 52, br. 1, 2017, str. 23-43. https://doi.org/10.3336/gm.52.1.03. Citirano 01.10.2020.
Chicago 17th Edition
Luca, Florian i Augustine O. Munagi. "Diophantine triples with values in the sequences of Fibonacci and Lucas numbers." Glasnik matematički 52, br. 1 (2017): 23-43. https://doi.org/10.3336/gm.52.1.03
Harvard
Luca, F., i Munagi, A.O. (2017). 'Diophantine triples with values in the sequences of Fibonacci and Lucas numbers', Glasnik matematički, 52(1), str. 23-43. https://doi.org/10.3336/gm.52.1.03
Vancouver
Luca F, Munagi AO. Diophantine triples with values in the sequences of Fibonacci and Lucas numbers. Glasnik matematički [Internet]. 2017 [pristupljeno 01.10.2020.];52(1):23-43. https://doi.org/10.3336/gm.52.1.03
IEEE
F. Luca i A.O. Munagi, "Diophantine triples with values in the sequences of Fibonacci and Lucas numbers", Glasnik matematički, vol.52, br. 1, str. 23-43, 2017. [Online]. https://doi.org/10.3336/gm.52.1.03

Sažetak
Let FL={1,2,3,4,5,7,8,11,13,18,21, … } be the set consisting of all Fibonacci and Lucas numbers with positive subscripts. We find all triples (a,b,c) of positive integers a < b < c such that ab+1, ac+1, bc+1 are all members of FL.

Ključne riječi
Diophantine triples; Fibonacci numbers; Lucas numbers

Hrčak ID: 183120

URI
https://hrcak.srce.hr/183120

Posjeta: 385 *