Geodesic
On the Diophantine equation on reciprocal Fibonacci numbers
Mathematica Applicanda, Tome 50 (2022) no. 2, pp. 249-254.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The work deals with exponential Diophantine equations of a special kind related to Fibonacci sequences. The classical Diophantine equation relates the sum of two terms of the sequence to the third. A solution to the problem of the existence of Diophantine equations relating the sum of two reciprocal terms of the Fibonacci sequence with the reciprocal of another term of this sequence is given.
DOI : 10.14708/ma.v50i2.7168
Mots-clés : Diophantine equation, Fibonacci numbers, Negative Exponential Diophantine equation 
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Abdelkader Hamtat. On the Diophantine equation on reciprocal Fibonacci numbers. Mathematica Applicanda, Tome 50 (2022) no. 2, pp.  249-254. doi : 10.14708/ma.v50i2.7168. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i2.7168/

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