Papers of 2024

  • On the largest prime factor of the k–generalized Lucas numbers

    Authors: Herbert Batte, Florian Luca

    Volume: 30

    Article: 33

    Journal: Boletín de la Sociedad Matemática Mexicana

  • A Diophantine Equation With Powers of Three Consecutive k-Fibonacci Numbers

    Authors: Carlos A Gómez, Jhonny C Gómez, Florian Luca

    Volume: 79

    Article: 136

    Journal: Results in Mathematics

  • On the Euler function of linearly recurrence sequences

    Authors: Florian Luca, Makoko Campbell Manape

    Journal: arXiv preprint arXiv:2405.11256

  • On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words

    Authors: Pavol Kebis, Florian Luca, Joel Ouaknine, Andrew Scoones, James Worrell

    Volume: 297

    Journal: 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)

  • On the p-adic zeros of the Tribonacci sequence

    Authors: Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell

    Volume: 93

    Pages: 1333-1353

    Journal: Mathematics of Computation

  • Solving Skolem's problem for the k–generalized Fibonacci sequence with negative indices

    Authors: Jonathan García, Carlos A Gómez, Florian Luca

    Volume: 257

    Pages: 273-299

    Journal: Journal of Number Theory

  • ON THE ITERATES OF THE SHIFTED EULER’S FUNCTION

    Authors: Paolo Leonetti, Florian Luca

    Volume: 109(2)

    Pages: 206-214

    Journal: Bulletin of the Australian Mathematical Society

  • Solutions to a Pillai-Type Equation Involving Tribonacci Numbers and S-Units

    Authors: Herbert Batte, Florian Luca

    Volume: 21

    Article: 159

    Journal: Mediterranean J. Math.

  • On a variant of Pillai’s problem with factorials and S-units

    Authors: Bernadette Faye, Florian Luca, Volker Ziegler

    Volume: 63

    Pages: 773-802

    Journal: The Ramanujan Journal

  • Asymptotics on a class of S-unit integers

    Authors: Florian Luca, Pantelimon Stănică

    Volume: 88

    Pages: 266-272

    Journal: Periodica Mathematica Hungarica

  • On the separation of the roots of the generalized Fibonacci polynomial

    Authors: Jonathan García, Carlos A Gómez, Florian Luca

    Volume: 35(2)

    Pages: 269-281

    Journal: Indagationes Mathematicae

  • On the x-coordinates of Pell equations that are products of two Pell numbers

    Authors: Mahadi Ddamulira, Florian Luca

    Volume: 74(1)

    Pages: 41-56

    Journal: Mathematica Slovaca

  • The Complete Solution of the Diophantine Equation F n+ 1 (k) x-F n-1 (k) x= F m (k)

    Authors: Carlos A Gómez, Jhonny C Gómez, Florian Luca

    Volume: 21

    Article: 13

    Journal: Mediterranean Journal of Mathematics

  • F4F65 F6F7F48 F9F210F512F14F^{-1}15 F18F24F30 = 36!, Integers 24

    Authors: Florian Luca

    Article: A72

    Journal: Integers 24

  • On the Discriminant of the k-Generalized Fibonacci Polynomial, II

    Authors: Florian Luca

    Volume: 62(3)

    Pages: 192-200

    Journal: The Fibonacci Quart.

  • Bad witnesses for a composite number

    Authors: J. Djella Legnongo, T. Ezome and F. Luca

    Volume: 215

    Pages: 11-32

    Journal: Acta Arith.

  • On the Exponential Diophantine Equation U_n^x + U_{n+1}^x = U_m

    Authors: H. Batte, M. Ddamulira, J. Kasozi and F. Luca

    Volume: 64

    Pages: 153-184

    Journal: The Ramanujan J.

  • Padovan squares which are again Padovan

    Authors: Bravo and F. Luca

    Volume: 104

    Pages: 423-441

    Journal: Publ. Math. Debrecen

  • Numbers of the form k +f(k)

    Authors: M. Gabdullin, V. Iudelevich and F. Luca

    Volume: 262

    Pages: 58-85

    Journal: J. Number Theory