A Diophantine equation related to the sum of powers of two consecutive generalized Fibonacci numbers-Reference-Cited by-同舟云学术

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A Diophantine equation related to the sum of powers of two consecutive generalized Fibonacci numbers

Published:2015-11 Issue: Volume:156 Page:1-14
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Chaves Ana Paula^ORCID,Marques Diego

Funder

FAPDF

CNPq

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference9 articles.

1. On a conjecture about repdigits in k-generalized Fibonacci sequences;Bravo;Publ. Math. Debrecen,2013

2. A simplified Binet formula for k-generalized Fibonacci numbers;Dresden;J. Integer Seq.,2014

3. Generalization of a theorem of Baker and Davenport;Dujella;Quart. J. Math. Oxford Ser. (2),1998

4. An expression for generalized Fibonacci numbers;Ferguson;Fibonacci Quart.,1966

5. The Fibonacci numbers exposed;Kalman;Math. Mag.,2003

Cited by 6 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 the Diophantine Equation $${L^2_m}+{L^2_n}=2^a$$;Proceedings of the Bulgarian Academy of Sciences;2024-08-29

2. On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$;Taiwanese Journal of Mathematics;2022-07-20

3. On the Exponential Diophantine Equation $$F_{n+1}^{x} - F_{n-1}^{x} = F_{m}$$;Mediterranean Journal of Mathematics;2021-08-10

4. An Exponential Diophantine Equation Related to Powers of Three Consecutive Fibonacci Numbers;Bulletin of the Malaysian Mathematical Sciences Society;2020-08-08

5. Generalized Cullen numbers in linear recurrence sequences;Journal of Number Theory;2019-09

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