Papers of 2025

• On the transcendence of a series related to Sturmian words

  Authors: Florian Luca, Joël Ouaknine, James Worrell

  Pages: 2363-2393

  Journal: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

• Sequences of integers generated by two fixed primes

  Authors: Alessandro Languasco, Florian Luca, Pieter Moree, Alain Togbé

  Volume: 95

  Pages: 123-148

  Journal: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

• On the distance between factorials and repunits

  Authors: Michael Filaseta, Florian Luca

  Journal: Acta Arithmetica

• On pseudoprime RSA moduli

  Authors: Florian Luca, Dimbinaina Ralaivaosaona, Jorge Jiménez Urroz

  Volume: 36

  Journal: Afrika Matematika

• On the Sum of Divisors function of linearly recurrent sequences

  Authors: Florian Luca, Makoko Campbell Manape

  Volume: Accepted manuscript

  Journal: Annales Mathematicae et Informaticae

• On a Problem of Douglass and Ono for the Plane Partition Function

  Authors: Florian Luca

  Volume: 29

  Pages: 893-903

  Journal: Annals of Combinatorics

• On integral consecutive arithmetic means of the first Fibonacci numbers

  Authors: Florian Luca, Diego Marques

  Volume: 125

  Pages: 505-511

  Journal: Archiv der Mathematik

• Products of Catalan numbers which are squares

  Authors: Lajos Hajdu, Florian Luca, Szabolcs Tengely, Maciej Ulas

  Volume: 124

  Pages: 265-281

  Journal: Archiv der Mathematik

• An Exponential Diophantine Equation with Generalized Pell Numbers

  Authors: Jhon J. Bravo, Florian Luca, Fabian Pomeo

  Volume: 56

  Journal: Bulletin of the Brazilian Mathematical Society, New Series

• Transcendence of Hecke–Mahler series

  Authors: Florian Luca, Joël Ouaknine, James Worrell

  Volume: 57

  Pages: 1360-1368

  Journal: Bulletin of the London Mathematical Society

• Multiplicative independence in the sequence of k -generalized Lucas numbers

  Authors: Herbert Batte, Mahadi Ddamulira, Juma Kasozi, Florian Luca

  Volume: 36

  Pages: 819-837

  Journal: Indagationes Mathematicae

• On the index of friability

  Authors: Jean-Marie De Koninck, Florian Luca

  Volume: 21

  Pages: 1395-1415

  Journal: International Journal of Number Theory

• On the largest value of the solutions of Erdős’ last equation

  Authors: Florian Luca, István Pink, Csaba Sándor

  Volume: 21

  Pages: 1281-1295

  Journal: International Journal of Number Theory

• On the Diophantine equation 2  + p = m2 with a Fermat prime p

  Authors: Florian Luca, István Pink

  Volume: 268

  Pages: 49-71

  Journal: Journal of Number Theory

• Twisted rational zeros of linear recurrence sequences

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

  Volume: 111

  Journal: Journal of the London Mathematical Society

• Diophantine Equation Involving Ratios of Padovan Numbers

  Authors: Carlos Alexis Gómez, Florian Luca, Salah Eddine Rihane, Alain Togbé

  Volume: 22

  Journal: Mediterranean Journal of Mathematics

• Common values of two k-generalized Pell sequences

  Authors: Zafer Şiar, Florian Luca, Faith Shadow Zottor

  Volume: 31

  Pages: 256-268

  Journal: Notes on Number Theory and Discrete Mathematics

• On a problem of Pillai involving S-units and Lucas numbers

  Authors: Herbert Batte, Mahadi Ddamulira, Juma Kasozi, Florian Luca

  Volume: 91

  Pages: 53-87

  Journal: Periodica Mathematica Hungarica

• The Diophantine Equation $$L_n^{(k)}=(2^a-1)(2^b-1)$$

  Authors: Nurettin Irmak, Florian Luca

  Volume: 91

  Pages: 296-308

  Journal: Periodica Mathematica Hungarica

• On the Decidability of Presburger Arithmetic Expanded with Powers

  Authors: Toghrul Karimov, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell

  Pages: 2755-2778

  Journal: Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)

• On Erdős’ last equation

  Authors: Florian Luca, István Pink, Csaba Sándor

  Volume: 154

  Pages: 541-548

  Journal: Proceedings of the American Mathematical Society

• On a problem of Douglass and Ono for the partition function

  Authors: Florian Luca

  Journal: Proceedings of the American Mathematical Society

• On $k$-generalized Fibonacci numbers which are perfect powers of Lucas numbers

  Authors: Fatih Erduvan, Florian Luca, Merve Guney Duman, Faith Shadow Zottor

  Volume: 107

  Pages: 499-515

  Journal: Publicationes Mathematicae Debrecen

• On equal values of products and power sums of consecutive elements in an arithmetic progression

  Authors: Andras Bazso, Dijana Kreso, Florian Luca, Akos Pinter, Csaba Rakaczki

  Volume: 106

  Pages: 69-86

  Journal: Publicationes Mathematicae Debrecen

• Fibonacci–Theodorus Spiral and Its Properties

  Authors: Michael R. Bacon, Charles K. Cook, Rigoberto Flórez, Robinson A. Higuita, Florian Luca, José L. Ramírez

  Volume: 63

  Pages: 469-491

  Journal: The Fibonacci Quarterly

• Irrationality and transcendence questions in the ‘poor man’s adèle ring’

  Authors: Florian Luca, Wadim Zudilin

  Volume: 67

  Journal: The Ramanujan Journal

• On the Diophantine equation Fnx + Fkx = Fmy

  Authors: Attila Bérczes, Lajos Hajdu, Florian Luca, István Pink

  Volume: 67

  Journal: The Ramanujan Journal

• Some explicit forms of special values of an alternating q-multiple t-function of general level at roots of unity

  Authors: Takao Komatsu, Florian Luca

  Volume: 68

  Journal: The Ramanujan Journal