Michael A. Bennett, Bruce Reznick, “Positive Rational Solutions toxy=ymx: A Number-Theoretic Excursion”, The American Mathematical Monthly, 111, № 1, 2004, 13
Stéphane Fischler, Johannes Sprang, Wadim Zudilin, “Many odd zeta values are irrational”, Compositio Math., 155, № 5, 2019, 938
Florian Luca, “On the diophantine equation px1 − px2 = qy1 − qy2”, Indagationes Mathematicae, 14, № 2, 2003, 207
Yann Bugeaud, Guillaume Hanrot, “Un nouveau critère pour l'équation de Catalan”, Mathematika, 47, № 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, № 1, 2021, 73
Yann Bugeaud, T.N. Shorey, “On the Diophantine equation (xm-1)/(x-1) = (yn-1)/(y-1)”, Pacific J. Math., 207, № 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, № 2, 2022, 185
Mohamed El Bachraoui, Florian Luca, “On a Diophantine equation of Ayad and Kihel”, Quaestiones Mathematicae, 35, № 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, № 1, 2018, 99
Mihai Cipu, “Gröbner bases and Diophantine analysis”, Journal of Symbolic Computation, 43, № 10, 2008, 681