On Tribonacci numbers written as a product of three Fibonacci numbers
References
- A. Baker, Linear forms in the logarithms of algebraic numbers (I, II, III), Mathematika 14(2) (1967), 220–228.
- A. Baker, H. Davenport, The equations 3x2 − 2 = y2 and 8x2 − 7 = z2, Quarterly Journal of Mathematics 20 (1969), 129–137.
- J. J. Bravo, F. Luca, On the Diophantine equation Fn + Fm = 2a, Quaestiones Mathematicae 39(3) (2016), 391–400.
- A. Dujella, A. Peth, A generalization of a theorem of Baker and Davenport, The Quarterly Journal of Mathematics 49(195) (1998), 291–306.
- F. Luca, J. Odjoumani, A. Togb, Tribonacci numbers that are products of two Fibonacci numbers, The Fibonacci Quarterly 61(4) (2023), 298–304.
- E. M. Matveev, An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II, Izvestiya: Mathematics 64(6) (2000), 1217-1269.
- J. Odjoumani, V. Ziegler, On prime powers in linear recurrence sequences, Annales mathmatiques du Qubec. 7(2) (2023), 349–366.
- S. G. Sanchez, F. Luca, Linear combinations of factorials and S-units in a binary recurrence sequence, Annales mathmatiques du Qubec. 38(2) (2014), 169-188.
- Z. Şiar, R. Keskin, On the Diophantine equation Fn − Fm = 2a, Colloq. Math. 159 (2020), no. 1, 119–126.
Language: English
Page range: 117 - 128
Submitted on: Jun 16, 2025
Accepted on: Nov 1, 2025
Published on: May 15, 2026
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
Keywords:
Related subjects:
© 2026 Zeynep Demirkol Ozkaya, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.