- Adel Alahmadi, Florian Luca, “On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials”, Int. J. Number Theory, 18, no. 09, 2022, 1887
- F. Luca, “Diophantine $\mathcal{S} $-quadruples with two primes which are twin”, Acta Math. Hungar., 159, no. 2, 2019, 589
- Volker Ziegler, “On a family of Thue equations of degree 16”, Math. Comp., 79, no. 272, 2010, 2407
- T. N. Shorey, Number Theory, 2000, 463
- Maurice Mignotte, Paul Voutier, “A kit for linear forms in three logarithms”, Math. Comp., 93, no. 348, 2023, 1903
- John L. Simons, “A simple (inductive) proof for the non-existence of 2-cycles of the 3x+1 problem”, Journal of Number Theory, 123, no. 1, 2007, 10
- Maohua Le, “On Jeśmanowicz' conjecture concerning Pythagorean numbers”, Proc. Japan Acad. Ser. A Math. Sci., 72, no. 5, 1996
- Maurice Mignotte, Yves Roy, “Minorations pour l'équation de Catalan”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 324, no. 4, 1997, 377
- Carlos A. Gómez, Jhonny C. Gómez, Florian Luca, “Two b–repunits in the Fibonacci sequence”, Journal of Number Theory, 222, 2021, 393
- Yann Bugeaud, “On the diophantine equation (xk − 1)(yk − 1) = (zk − 1)”, Indagationes Mathematicae, 15, no. 1, 2004, 21