Naslov
Products of two repdigits in some recurrence sequences

Autori
Filipin, Alan ; Adedji, Kouessi Norbert ; Togbe, Alain

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
The Twentieth International Conference on Fibonacci Numbers and Their Applications - Book of Abstracts / - , 2022, 4-4

Skup
The Twentieth International Conference on Fibonacci Numbers and Their Applications

Mjesto i datum
Sarajevo, Bosna i Hercegovina, 25.07.2022. - 29.07.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
recurrence sequences ; Diophantine equations

Sažetak
In this talk we consider the problem of searching for all Padovan and Perrin numbers which can be expressed as a product of two repdigits in the base b, where 2 ≤ b ≤ 10. Padovan sequence (P_n) is defined with P_0 = P_1 = P_2 = 1 and P_{;n+3}; = P_{;n+1}; + P_n for n ≥ 0, while Perrin sequence (T_n) is given by T_0 = 3, T_1 = 0, T_2 = 2 and the same recurrence relation T_{;n+3}; = T_{;n+1}; + T_n for n ≥ 0. We find all Padovan and Perrin numbers which can be expressed as a product of two repdigits. In the proofs, we use some tools from Diophantine approximation and Baker?s theory on linear forms in logarithms of algebraic numbers.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA