Papers of 2020

  • On the Diophantine equation Pxn + Pxn+1 + ⋯ + Pxn+k-1 = Pm

    Authors: Florian Luca, Euloge Tchammou, Alain Togbé

    Pages: 1333-1348

    Journal: Mathematica Slovaca

  • On the zero-multiplicity of the k-generalized Fibonacci sequence

    Authors: Jonathan García, Carlos A Gómez, Florian Luca

    Pages: 1564-1578

    Journal: Journal of Difference Equations and Applications

  • On X-coordinates of Pell equations which are repdigits

    Authors: Carlos A Gómez, Florian Luca, Faith Shadow Zottor

    Article: 6:41

    Journal: Research in Number Theory

  • On the equation \Sum_{j=1}^k jF_j^p = F_n^q

    Authors: Alaa Altassan, Florian Luca

    Pages: 256-277

    Journal: Journal of Number Theory

  • Multiplicative dependence between k-Fibonacci and k-Lucas numbers

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

    Pages: 217-233

    Journal: Periodica Mathematica Hungarica

  • On the prime factors of iterates of the Ramanujan τ–function

    Authors: Florian Luca, Sibusiso Mabaso, Pantelimon Stănică

    Pages: 1031-1047

    Journal: Proceedings of the Edinburgh Mathematical Society

  • Perfect squares representing the number of rational points on elliptic curves over finite field extensions

    Authors: Kwok Chi Chim, Florian Luca

    Pages: 101725

    Journal: Finite fields and their applications

  • Linear combinations of prime powers in X-coordinates of Pell equations

    Authors: Harold Erazo, Carlos A Gomez, Florian Luca

    Pages: 123-137

    Journal: The Ramanujan Journal

  • On members of Lucas sequences which are products of factorials

    Authors: Shanta Laishram, Florian Luca, Mark Sias

    Pages: 329-359

    Journal: Monatshefte für Mathematik

  • Ratios of sums of two Fibonacci numbers equal to powers of 2

    Authors: Jhon J Bravo, Maribel Díaz, Florian Luca

    Pages: 185-199

    Journal: Mathematical Communications

  • On Pillai's problem with k-generalized Fibonacci numbers and powers of 3

    Authors: Mahadi Ddamulira, Florian Luca

    Pages: 1643-1666

    Journal: International Journal of Number Theory

  • Powers of Two in Generalized Lucas Sequences

    Authors: Salah Eddine Rihane, Bernadette Faye, Florian Luca, Alain Togbé

    Pages: 254-260

    Journal: The Fibonacci Quarterly

  • On Y-coordinates of Pell equations which are base 2 rep-digits

    Authors: Bernadette Faye-Fall, Florian Luca

    Pages: 1-12

    Journal: Glasnik matematički

  • On a Diophantine equation involving powers of Fibonacci numbers

    Authors: Krisztián Gueth, Florian Luca, László Szalay

    Pages: 33-37

  • Zeckendorf representations with at most two terms of x-coordinates of Pell equations

    Authors: Carlos A Gómez, Florian Luca

    Pages: 627-642

    Journal: Science China Mathematics

  • Binary Recurrences for which Powers of Two are always discriminating Moduli

    Authors: A DE CLERCQ, Florian Luca, Lilit Martirosyan, Maria Matthis, Pieter Moree, Max A Stoumen, Melvin Weiss

    Article: 20.11.2

    Journal: J. Integer Sequences 23

  • Correction to: X-coordinates of Pell equations as sums of two Tribonacci numbers

    Authors: Eric F Bravo, Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 145-146

    Journal: Periodica Mathematica Hungarica

  • Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function

    Authors: Stephan Ramon Garcia, Florian Luca, Kye Shi, Gabe Udell

    Pages: 400-417

    Journal: Journal of Number Theory

  • Pell and Pell–Lucas numbers as sums of Two repdigits

    Authors: Chèfiath Adegbindin, Florian Luca, Alain Togbé

    Pages: 1253-1271

    Journal: Bulletin of the Malaysian Mathematical Sciences Society

  • On certain sums concerning the gcd’s and lcm’s of k positive integers

    Authors: Titus Hilberdink, Florian Luca, László Tóth

    Pages: 77-90

    Journal: International Journal of Number Theory

  • On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

    Authors: Mahadi Ddamulira, Florian Luca

    Pages: 156-195

    Journal: Journal of Number Theory

  • Pentagonal and heptagonal repdigits

    Authors: Bir Kafle, Florian Luca, Alain Togbé

    Pages: 137-145

    Journal: Annales Mathematicae et Informaticae

  • On the equation (2^k-1)(3^l-1) = 5^m-1

    Authors: Florian Luca, László Szalay

    Pages: 3-11

    Journal: Azerbaijan Journal of Mathematics

  • Products of k-Fibonacci numbers which are rep-digits

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

    Pages: 101-115

    Journal: Publ. Math. Debrecen 97

  • Elliptic curves over Finite fields with Fibonacci numbers of points

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

    Pages: 711-734

    Journal: New York Journal of Mathematics

  • Markov's triples with k-generalized Fibonacci components

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

    Pages: 107-115

    Journal: Annales Mathematicae et Informaticae

  • Composite positive integers whose sum of prime factors is prime

    Authors: Florian Luca, Damon Moodley

    Pages: 49-64

    Journal: Archivum Mathematicum

  • On Y-coordinates of Pell equations which are members of a fixed binary recurrence

    Authors: Bernadette Faye, Florian Luca

    Pages: 184-206

    Journal: New York Journal of Mathematics

  • Small  fields with large class-groups, in Class Groups of Number Fields and Related Topics

    Authors: F. Luca and P. Mih ailescu

    Pages: 113-118

    Journal: Springer (2020)

  • Total multiplicity of the Tribonacci sequence

    Authors: Eric F Bravo, Carlos A Gómez, Florian Luca

    Pages: 71-76

    Journal: Colloquium Mathematicum

  • On a conjecture concerning the multiplicity of the Tribonacci sequence

    Authors: Eric F Bravo, Carlos A Gómez, Bir Kafle, Florian Luca, Alain Togbé

    Pages: 61-70

    Journal: Colloquium Mathematicum

  • Trinomials with given roots

    Authors: Yuri Bilu, Florian Luca

    Pages: 33-42

    Journal: Indagationes Mathematicae

  • Lucas factoriangular numbers

    Authors: Bir Kafle, Florian Luca, Alain Togbé

    Pages: 33-43

    Journal: Mathematica Bohemica

  • The X-coordinates of Pell equations and sums of two Fibonacci numbers ||

    Authors: M. Ddamulira and F. Luca

    Article: 58

    Journal: Proc. Indian Academy Sect. Math.