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Your search keyword '"Behloul, Djilali"' showing total 9 results
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9 results on '"Behloul, Djilali"'

1. $k$-Fibonacci numbers which are Narayana's cows numbers

Author

Bensella, Hayat and Behloul, Djilali

Subjects
Mathematics - Number Theory
Abstract

In this paper,we find all generalized Fibonacci numbers which are Narayana's cows numbers. In our proofs, we use both Baker's theory of nonzero linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction method.

Published
2023

3. On the Exponential Diophantine Equation $(F_{m+1}^{(k)})^x-(F_{m-1}^{(k)})^x = F_n^{(k)}$

Author

Bensella, Hayat, Patel, Bijan Kumar, and Behloul, Djilali

Subjects
Mathematics - Number Theory, 11B39, 11J86, 11D61
Abstract

In this paper, we explicitly find all solutions of the title Diophantine equation, using lower bounds for linear forms in logarithms and properties of continued fractions. Further, we use a version of the Baker-Davenport reduction method in Diophantine approximation, due to Dujella and Peth\"o. This paper extends the previous work of \cite{Patel}.

Published
2022

9. Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences.

Author

AIT-AMRANE, LYES, BEHLOUL, DJILALI, and DJOUMAKH, AKILA

Subjects
*DIOPHANTINE equations, *FIBONACCI sequence, *QUADRATIC equations
Abstract

In this paper, we present new identities involving the biperiodic Fibonacci and Lucas sequences. Then we solve completely some quadratic Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences. [ABSTRACT FROM AUTHOR]

Published
2022
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