On the Diophantine equations $$\varvec{P_{n}=b^{d}Q_{m}+Q_{k}}$$ and $$\varvec{Q_{n}=b^{d}P_{m}+P_{k}}$$ involving Pell and Pell

On the Diophantine equations $$\varvec{P_{n}=b^{d}Q_{m}+Q_{k}}$$ and $$\varvec{Q_{n}=b^{d}P_{m}+P_{k}}$$ involving Pell and Pell–Lucas numbers

Published:2024-05-09 Issue:1 Volume:134 Page:
ISSN:0973-7685
Container-title:Proceedings - Mathematical Sciences
language:en
Short-container-title:Proc Math Sci

Author:

Adédji Kouèssi Norbert^ORCID,Faye Mariama Ndao,Togbé Alain

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12044-024-00784-4.pdf

Reference17 articles.

1. Adédji K N, Balancing numbers which are products of three repdigits in base $$b$$, Bol. Soc. Mat. Mex. 29 (2023) 45, https://doi.org/10.1007/s40590-023-00516-0

2. Adédji K N, Faye M N and Togbé A, A generalization of a theorem of Murat Alan (2023) accepted to appear in Rad Hrvat. Akad. Znan. Umjet. Mat. Znan.

3. Adédji K N, Filipin A, Rihane S E and Togbé A, Fibonacci or Lucas numbers which are concatenations of two $$g$$-repdigits, Fibonacci Quart. 61(1) (2023) 68–83

4. Adédji K N, Filipin A and Togbé A, Fibonacci and Lucas numbers as products of three repdigits in base $$g$$, Rend. Circ. Mat. Palermo, II. Ser (2023), https://doi.org/10.1007/s12215-023-00878-4

5. Adédji K N, Luca F and Togbé A, On the solutions of the Diophantine equation $$F_n\pm a(10^m-1)/9=k!$$, J. Number Theory 240 (2022) 593–610

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On b-concatenations of Padovan and Perrin numbers;Boletín de la Sociedad Matemática Mexicana;2024-07

2. On Mixed -Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers;Mathematica Pannonica;2024-06-17