On perfect powers that are sums of two Fibonacci numbers-Reference-Cited by-同舟云学术

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On perfect powers that are sums of two Fibonacci numbers

Published:2018-08 Issue: Volume:189 Page:90-96
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Luca Florian^ORCID,Patel Vandita

Funder

NRF

Czech Granting Agency

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference9 articles.

1. Perfect powers from products of terms in Lucas sequences;Bugeaud;J. Reine Angew. Math.,2007

2. Fibonacci numbers at most one away from a perfect power;Bugeaud;Elem. Math.,2008

3. Almost powers in the Lucas sequence;Bugeaud;J. Théor. Nombres Bordeaux,2008

4. Classical and modular approaches to exponential Diophantine equations I, Fibonacci and Lucas perfect powers;Bugeaud;Ann. of Math.,2006

5. Toward a Global Science;Goonatilake,1998

Cited by 23 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 perfect powers that are difference of two Perrin numbers or two Padovan numbers;Proceedings of the Indian National Science Academy;2024-01-31

2. On the Diophantine equation $F_{n-2}^m+F_n^m+F_{n+2}^m=y^p$;Functiones et Approximatio Commentarii Mathematici;2024-01-01

3. On Perfect Powers in $$k$$-Generalized Pell–Lucas Sequence;Mathematical Notes;2023-12

4. On sums of two Fibonacci numbers that are powers of numbers with limited hamming weight;Quaestiones Mathematicae;2023-10-05

5. On perfect powers that are sum of two balancing numbers;Periodica Mathematica Hungarica;2023-08-09

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