- Michael A. Bennett, Bruce Reznick, “Positive Rational Solutions toxy=ymx: A Number-Theoretic Excursion”, The American Mathematical Monthly, 111, no. 1, 2004, 13
- Stéphane Fischler, Johannes Sprang, Wadim Zudilin, “Many odd zeta values are irrational”, Compositio Math., 155, no. 5, 2019, 938
- Florian Luca, “On the diophantine equation px1 − px2 = qy1 − qy2”, Indagationes Mathematicae, 14, no. 2, 2003, 207
- Yann Bugeaud, Guillaume Hanrot, “Un nouveau critère pour l'équation de Catalan”, Mathematika, 47, no. 1-2, 2000, 63
- Carlos A. Gómez, Jhonny C. Gómez, Florian Luca, “$k-$Fibonacci powers as sums of powers of some fixed primes”, Monatsh Math, 195, no. 1, 2021, 73
- Yann Bugeaud, T.N. Shorey, “On the Diophantine equation (xm-1)/(x-1) = (yn-1)/(y-1)”, Pacific J. Math., 207, no. 1, 2002, 61
- Herbert Batte, Mahadi Ddamulira, Juma Kasozi, Florian Luca, “On the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime”, Glas. Mat. Ser. III, 57, no. 2, 2022, 185
- Mohamed El Bachraoui, Florian Luca, “On a Diophantine equation of Ayad and Kihel”, Quaestiones Mathematicae, 35, no. 2, 2012, 235
- YANN BUGEAUD, “Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations”, Math. Proc. Camb. Phil. Soc., 164, no. 1, 2018, 99
- Mihai Cipu, “Gröbner bases and Diophantine analysis”, Journal of Symbolic Computation, 43, no. 10, 2008, 681