Papers of 2019

  • Perfect Pell and Pell–Lucas numbers

    Authors: Jhon J Bravo, Florian Luca

    Pages: 381-387

    Journal: Studia Scientiarum Mathematicarum Hungarica

  • On ternary Egyptian fractions with prime denominator

    Authors: Florian Luca, Francesco Pappalardi

    Pages: 34

    Journal: Research in Number Theory

  • Diophantine S-quadruples with two primes which are twin

    Author: F Luca

    Pages: 589-602

    Journal: Acta Mathematica Hungarica

  • x-Coordinates of Pell equations which are Tribonacci numbers II

    Authors: Bir Kafle, Florian Luca, Alain Togbé

    Pages: 157-167

    Journal: Periodica Mathematica Hungarica

  • On a curious Property of F184

    Authors: Alaa Altassan, Florian Luca

    Pages: 363-365

    Journal: The Fibonacci Quarterly

  • On the x-coordinates of Pell equations which are Lucas numbers

    Authors: Bir Kafle, Florian Luca, Alain Togbé

    Pages: 481-493

    Journal: Boletín de la Sociedad Matemática Mexicana

  • On Pillai’s problem with the Fibonacci and Pell sequences

    Authors: Santos Hernández Hernández, Florian Luca, Luis Manuel Rivera

    Pages: 495-507

    Journal: Boletín de la sociedad matemática Mexicana

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

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

    Pages: 294-309

    Journal: Journal of Number Theory

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

    Authors: Bir Kafle, Florian Luca, Amanda Montejano, Laszlo Szalay, Alain Togbe

    Pages: 310-333

    Journal: Journal of Number Theory

  • On fundamental units of real quadratic fields of class number 1

    Authors: Andrej Dujella, Florian Luca

    Pages: 349-353

    Journal: Archiv der Mathematik

  • Perfect Squares as Concatenation of Consecutive Integers

    Authors: Florian Luca, Pantelimon Stănică

    Pages: 728-734

    Journal: The American Mathematical Monthly

  • Consecutive Integers with Close Kernels

    Authors: Jean-Marie De Koninck, Florian Luca

    Pages: 469-473

    Journal: Canadian Mathematical Bulletin

  • Diophantine equations with the Ramanujan τ function of factorials, Fibonacci Numbers and Catalan Numbers

    Authors: Florian Luca, Sibusiso Mabaso

    Pages: 255-259

    Journal: The Fibonacci Quarterly

  • Irrationality of Infinite Series

    Authors: Jaroslav Hančl, Florian Luca

    Article: 89

    Journal: Mediterranean Journal of Mathematics

  • Recurrence relations for polynomials obtained by arithmetic functions

    Authors: Bernhard Heim, Florian Luca, Markus Neuhauser

    Pages: 1291-1303

    Journal: International Journal of Number Theory

  • Lucas numbers as sums of two repdigits

    Authors: Chèfiath Adegbindin, Florian Luca, Alain Togbé

    Pages: 295-304

    Journal: Lithuanian Mathematical Journal

  • Repdigits as sums of four Pell Lucas numbers

    Authors: Florian Luca, Benedict Vasco Normenyo, Alain Togbé

    Pages: 249-266

    Journal: Boletín de la Sociedad Matemática Mexicana

  • On the zero–multiplicity of Berstel type sequences

    Authors: Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 585-595

    Journal: International Journal of Number Theory

  • On the discriminator of Lucas sequences

    Authors: Bernadette Faye, Florian Luca, Pieter Moree

    Pages: 51-71

    Journal: Annales mathématiques du Québec

  • Primitive Root Bias for Twin Primes

    Authors: Stephan Ramon Garcia, Elvis Kahoro, Florian Luca

    Pages: 151-160

    Journal: Experimental Mathematics

  • Constrained ternary integers

    Authors: Florian Luca, Pieter Moree, Robert Osburn, Sumaia Saad Eddin, Alisa Sedunova

    Pages: 407-431

    Journal: International Journal of Number Theory

  • On the period modulo m of polynomially recurrent sequences: a case study

    Authors: Cyril Banderier, Florian Luca

    Article: 19.5.2

    Journal: arXiv preprint arXiv:1903.01986

  • A note on Fibonomial coefficients

    Authors: Víctor C García, Florian Luca

    Pages: 143-153

    Journal: Functiones et Approximatio Commentarii Mathematici

  • On cyclotomic factors of polynomials related to modular forms

    Authors: Bernhard Heim, Florian Luca, Markus Neuhauser

    Pages: 445-458

    Journal: The Ramanujan Journal

  • Linear independence of powers of singular moduli of degree three

    Authors: Florian Luca, Antonin Riffaut

    Pages: 42-50

    Journal: Bulletin of the Australian Mathematical Society

  • Algebraic results for the values of v_3(m\tau) and  v_3(n\tau) of the Jacobi theta--constant

    Authors: Carsten Elsner, Florian Luca, Yohei Tachiya

    Pages: 71-79

  • On the X-coordinates of Pell equations which are rep-digits, II

    Authors: Florian Luca, Sossa Victorin Togan, Alain Togbé

    Pages: 131-144

    Journal: Annales Mathematicae et Informaticae

  • Pillai’s problem with the Padovan and Tribonacci sequences

    Authors: Ana Cecilia García Lomelí, Santos Hernández Hernández, Florian Luca

    Pages: 61-75

    Journal: Indian J. Math. 61

  • Product of Consecutive Tribonacci numbers with only one distinct digit.

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

    Article: 19.6.3

    Journal: J. Integer Seq.

  • On a divisibility problem

    Authors: Shichun Yang, Florian Luca, Alain Togbé

    Pages: 125-135

    Journal: Mathematica Bohemica

  • Pell factoriangular numbers

    Authors: Florian Luca, Japhet Odjoumani, Alain Togbé

    Pages: 93-100

    Journal: Publications de l'Institut Mathematique

  • On the exponential Diophantine equation $ P_n^ x+ P_ {n+ 1}^ x= P_m$

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

    Pages: 1640-1649

    Journal: Turkish Journal of Mathematics

  • Repdigits as sums of three Lucas numbers

    Authors: Florian Luca, Benedict Vasco Normenyo, Alain Togbé

    Pages: 255-265

    Journal: Colloquium Mathematicum

  • On the typical size and cancellations among the coefficients of some modular forms

    Authors: Florian Luca, Maksym Radziwiłł, Igor E Shparlinski

    Pages: 173-189

    Journal: Mathematical Proceedings of the Cambridge Philosophical Society

  • On the zero-multiplicity of a fifth-order linear recurrence sequence

    Authors: C. A. Gomez Ruiz and F. Luca

    Pages: 585-595

    Journal: Internat. J. Number Theory

  • Pillai's problem with the Padovan and Tribonacci sequences

    Authors: A. Altassan and F. Luca

    Pages: 61-75

    Journal: Indian J. Math. 61

  • An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

    Authors: S. E. Rihane, B. Faye, F. Luca and A. Togbe

    Pages: 167-177

    Journal: Ann. Math. Inform.