ON THE EXPONENTIAL DIOPHANTINE EQUATION F-n(x)

Florian Luca; Euloge Tchammou; Alain Togbe

doi:10.7169/facm/1860

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ON THE EXPONENTIAL DIOPHANTINE EQUATION F-n(x)

Journal article

Peer reviewed

ON THE EXPONENTIAL DIOPHANTINE EQUATION F-n(x)

Florian Luca, Euloge Tchammou and Alain Togbe

Functiones et approximatio commentarii mathematici, Vol.66(2), pp.139-159

01/06/2022

DOI: https://doi.org/10.7169/facm/1860

Abstract

Mathematics

Physical Sciences

Science & Technology

In this paper, we find all the solutions of the title Diophantine equation in positive integer variables (m, m , k, x), where F-i is the ith term of the Fibonacci sequence.

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Title: ON THE EXPONENTIAL DIOPHANTINE EQUATION F-n(x)
Creators - without role: Florian Luca - University of the Witwatersrand
Euloge Tchammou - Inst Math & Sci Phys, Dangbo, Benin
Alain Togbe - Purdue University Northwest
Publication Details: Functiones et approximatio commentarii mathematici, Vol.66(2), pp.139-159
Publisher: Wydawnictwo Naukowe Uam
Number of pages: 21
Grant note: Number Theory Focus Area Grant of CoEMaSS at Wits (South Africa) Purdue University Northwest CPRR160325161141 / NRF
Identifiers: 9938770708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article