Papers of 2021

  • On the gaps between q-binomial coefficients

    Authors: Florian Luca, Sylvester Manganye

    Volume: 29

    Pages: 431-442

    Journal: Communications in Mathematics

  • A NOTE ON THE DIOPHANTINE EQUATION: x²-kxy+ ky²+ ly= 0.

    Authors: SAKHA A ALKABOUSS, BOUALEM BENSEBA, NACIRA BERBARA, SIMON EARP-LYNCH, FLORIAN LUCA

    Volume: 63(86)

    Pages: 151-157

    Journal: Mathematica

  • On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II

    Authors: Harold S Erazo, Carlos A Gómez, Florian Luca

    Volume: 17(10)

    Pages: 2251-2277

    Journal: International Journal of Number Theory

  • On an exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

    Authors: Mahadi Ddamulira, Florian Luca

    Volume: 56

    Pages: 651-684

    Journal: The Ramanujan Journal

  • Common values of generalized Fibonacci and Pell sequences

    Authors: Jhon J Bravo, Jose L Herrera, Florian Luca

    Volume: 226

    Pages: 51-71

    Journal: Journal of Number Theory

  • On Petersson's partition limit formula

    Authors: Carlos Castaño-Bernard, Florian Luca

    Volume: 17(6)

    Pages: 1365-1378

    Journal: International Journal of Number Theory

  • On members of Lucas sequences which are products of Catalan numbers

    Authors: Shanta Laishram, Florian Luca, Mark Sias

    Volume: 17(6)

    Pages: 1487-1515

    Journal: International Journal of Number Theory

  • Product of repdigits with consecutive lengths in the Fibonacci sequence.

    Authors: Jhonny C Gómez, Florian Luca

    Volume: 27

    Article: 31

    Journal: Boletín de la Sociedad Matemática Mexicana

  • Skolem's conjecture confirmed for a family of exponential equations, III

    Authors: Lajos Hajdu, Florian Luca, Robert Tijdeman

    Volume: 224

    Pages: 41-49

    Journal: Journal of Number Theory

  • On Egyptian fractions of length 3

    Authors: Cyril Banderier, Carlos Alexis Gómez Ruiz, Florian Luca, Francesco Pappalardi, Enrique Treviño

    Volume: 62(1)

    Pages: 257-274

    Journal: Revista de la Unión Matemática Argentina

  • Universal skolem sets

    Authors: Florian Luca, Joël Ouaknine, James Worrell

    Pages: 1-6

    Journal: 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)

  • Fibonacci numbers which are concatenations of two repdigits

    Authors: Adel Alahmadi, Alaa Altassan, Florian Luca, Hatoon Shoaib

    Volume: 44(2)

    Pages: 281-290

    Journal: Quaestiones Math.

  • Markov Type Equations with Solutions in Lucas Sequences

    Authors: Alaa Altassan, Florian Luca

    Volume: 18

    Article: 87

    Journal: Mediterranean Journal of Mathematics

  • On the number of divisors of the least common multiples of shifted prime powers

    Authors: Florian Luca, Francesco Pappalardi

    Volume: 64(2)

    Pages: 153-161

    Journal: Functiones et Approximatio Commentarii Mathematici

  • k-Fibonacci powers as sums of powers of some fixed primes

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

    Volume: 195

    Pages: 73-105

    Journal: Monatshefte für Mathematik

  • Two b–repunits in the Fibonacci sequence

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

    Volume: 222

    Pages: 393-422

    Journal: Journal of Number Theory

  • The Orbit Problem for Parametric Linear Dynamical Systems

    Authors: Christel Baier, Florian Funke, Simon Jantsch, Toghrul Karimov, Engel Lefaucheux, Florian Luca, Joël Ouaknine, David Purser, Markus A Whiteland, James Worrell

    Pages: 28:1-28:17

    Journal: CONCUR, 2021

  • On the nonnegative integer solutions to the equation F_n\pm F_m = y^a

    Authors: Salima Kebli, Omar Kihel, Jesse Larone, Florian Luca

    Volume: 220

    Pages: 107-127

    Journal: Journal of Number Theory

  • Pell and Pell-Lucas numbers as sums of three repdigits

    Authors: Chefiath Awero Adegbindin, Florian Luca, Alain Togbé

    Volume: 90(1)

    Pages: 7-25

    Journal: Acta Mathematica Universitatis Comenianae

  • On the divisibility Fk | F^{2x} + F^x + 1

    Authors: Florian Luca, Prapanpong Pongsriiam, László Szalay

    Volume: 47

    Pages: 106-110

    Journal: Science Asia

  • k-generalised Fibonacci numbers which are concatenations of two pepdigits

    Authors: Adel Alahmadi, Alaa Altassan, Florian Luca, Hatoon Shoaib

    Volume: 56(1)

    Pages: 29-46

    Journal: Glasnik Mat.

  • On the distribution of the roots of z^k-z^{k-1}-…-z-1

    Authors: Carlos A Gómez, Florian Luca

    Volume: 62(3)

    Pages: 291-296

    Journal: Comment. Math. Univ. Carolin

  • On Composite Odd Numbers k for Which 2n k is a Noncototient for All Positive Integers n

    Authors: Marcos J González, Alberto Mendoza, Florian Luca, V Janitzio Mejıa Huguet, Av San Pablo

    Volume: 24

    Article: 21.9.6

    Journal: Journal of Integer Sequences

  • Duplications in the k-generalized Fibonacci sequences

    Authors: Florian Luca, Attila Pethő, László Szalay

    Volume: 27

    Pages: 1115-1133

    Journal: New York Journal of Mathematics

  • On a generalisation of the Pell sequence

    Authors: Jhon J Bravo, Jose L Herrera, Florian Luca

    Volume: 146(2)

    Pages: 199-213

    Journal: Mathematica Bohemica

  • On a Recursively Defined Sequence Involving the Prime Counting Function

    Authors: A. Alkan, A. Booker and F. Luca

    Volume: 24

    Article: 21.3.1

    Journal: J. Integer Sequences

  • Binary polynomial power sums vanishing at roots of unity

    Authors: Yu. F. Bilu and F. Luca

    Volume: 198

    Pages: 195--218

    Journal: Acta Arithmetica

  • On Positivity and Minimality for Second-Order Holonomic Sequences

    Authors: George Kenison, Oleksiy Klurman, Engel Lefaucheux, Florian Luca, Pieter Moree, Joël Ouaknine, Markus A. Whiteland, James Worrell

    Pages: 67:1-67:15

    Article: MFCS 2021

  • On the Discriminant of the k-generalized Fibonacci Polynomial

    Authors: F. Luca,

    Volume: 59(4)

    Pages: 298-307

    Journal: The Fibonacci Quarterly