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Fibonacci and Lucas numbers as products of three repdgits in base g
Rendiconti del Circolo Matematico di Palermo, n/a (2023); urn:nbn:hr:237:448477
Adedji, Kouessi Norbert; Filipin, Alan; Togbe, Alain

Institucijski repozitorij: Repozitorij Građevinskog fakulteta Sveučilišta u Zagrebu

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Adedji, K. N., Filipin, A. i Togbe, A. (2023). Fibonacci and Lucas numbers as products of three repdgits in base g. Rendiconti del Circolo Matematico di Palermo, n/a.. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:448477

Adedji, Kouessi Norbert, et al. "Fibonacci and Lucas numbers as products of three repdgits in base g." Rendiconti del Circolo Matematico di Palermo, vol. n/a, 2023. https://urn.nsk.hr/urn:nbn:hr:237:448477

Adedji, Kouessi Norbert, Alan Filipin i Alain Togbe. "Fibonacci and Lucas numbers as products of three repdgits in base g." Rendiconti del Circolo Matematico di Palermo n/a (2023). https://urn.nsk.hr/urn:nbn:hr:237:448477

Adedji, K. N., Filipin, A. i Togbe, A. (2023) 'Fibonacci and Lucas numbers as products of three repdgits in base g', Rendiconti del Circolo Matematico di Palermo, n/a. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:448477 (Datum pristupa: 03.11.2024.)

Adedji KN, Filipin A, Togbe A. Fibonacci and Lucas numbers as products of three repdgits in base g. Rendiconti del Circolo Matematico di Palermo [Internet]. 2023. [pristupljeno 03.11.2024.];n/a. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:448477

K. N. Adedji, A. Filipin i A. Togbe, "Fibonacci and Lucas numbers as products of three repdgits in base g", Rendiconti del Circolo Matematico di Palermo, vol. n/a, 2023. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:448477. [Citirano: 03.11.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:237:448477
Podaci o radu
Naslov (engleski)Fibonacci and Lucas numbers as products of three repdgits in base g
AutorKouessi Norbert Adedji
AutorAlan Filipin
AutorAlain Togbe
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
Recall that repdigit in base g is a positive integer that has only one digit in its base g expansion, i.e. a number of the form a(g^m-1)/(g−1), for some positive integers m ≥ 1, g ≥ 2 and 1 ≤ a ≤ g − 1. In the present study, we investigate all Fibonacci or Lucas numbers which are expressed as products of three repdigits in base g. As illustration, we consider the case g = 10 where we show that the numbers 144 and 18 are the largest Fibonacci and Lucas numbers which can be expressible as products of three repdigits respectively. All this is done using linear forms in logarithms of algebraic numbers.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objavePrihvaćen za objavljivanje
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaRendiconti del Circolo Matematico di Palermo
Brojčani podacivol. n/a
e-ISSN0009-725X
URN:NBNurn:nbn:hr:237:448477
Datum objave publikacije2023
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 06:10:33