Papers of 2023

  • Three essays on Machin’s type formulas

    Authors: Armengol Gasull, Florian Luca, Juan L Varona

    Volume: 34(6)

    Pages: 1373-1396

    Journal: Indagationes Mathematicae

  • Arithmetic properties of generalized Fibonacci numbers

    Authors: Jhon J. Bravo, Carlos A. Gómez, and Florian Luca

    Volume: 64(2)

    Pages: 439–460

    Journal: Revista de la Unión Matemática Argentina

  • Additive Diophantine Equations with Binary Recurrences, S-Units and Several Factorials

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

    Volume: 78(116)

    Paper: 116

    Journal: Results in Mathematics

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

    Authors: Adel Alahmadi, Oleksiy Klurman, Florian Luca, Hatoon Shoaib

    Volume: 63

    Pages: 249-253

    Journal: Lithuanian Mathematical Journal

  • On Y-coordinates of Pell equations which are Fibonacci numbers

    Authors: Florian Luca, Faith S Zottor

    Volume: 29

    Article: 49

    Journal: Boletín de la Sociedad Matemática Mexicana

  • Numbers of the form kf (k)

    Authors: Mikhail R Gabdullin, Vitalii V Iudelevich, Florian Luca

    Volume: 19(5)

    Pages: 1191-1204

    Journal: International Journal of Number Theory

  • On the solutions of the Diophantine equation Pn a(10m􀀀1)=9 = k!

    Authors: Kouèssi Norbert Adédji, Florian Luca, Alain Togbé

    Volume: 9

    Article: 34

    Journal: European Journal of Mathematics

  • ON A QUESTION OF WITNO CONCERNING HYPOTHETICAL ELITE PRIMES FOR MERSENNE NUMBERS AND REPUNITS

    Authors: Adel Alahmadi, Florian Luca

    Volume: 53(3)

    Pages: 679-683

    Journal: Rocky Mountain Journal of Mathematics

  • Linear combinations of factorial and S-unit in a ternary recurrence sequence with a double root

    Authors: Florian Luca, Armand Noubissie

    Volume: 86

    Pages: 422-441

    Journal: Periodica Mathematica Hungarica

  • Generalized Lucas graphs

    Authors: Hayder R Hashim, Florian Luca, Hayder B Shelash, Ali A Shukur

    Volume: 34

    Article: 10

    Journal: Afrika Matematika

  • On the exponential Diophantine equations P_n^x +P_{n+1}^y= P_m^x and P_n^y+ P_{n+1}^x= P_m^x

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

    Volume: 117

    Article: 89

    Journal: RACSAM

  • Terms of Lucas sequences having a large smooth divisor

    Authors: Nikhil Balaji, Florian Luca

    Volume: 66(1)

    Pages: 225-231

    Journal: Canadian Mathematical Bulletin

  • THERE IS NO CARMICHAEL NUMBER OF THE FORM 2np² + 1 WITH p PRIME.

    Authors: Florian Luca, Jean Lucien Randrianantenaina

    Volume: 23

    Article: A51

    Journal: Integers: Electronic Journal of Combinatorial Number Theory

  • On Tribonacci Numbers that are Products of Factorials

    Authors: Adel Alahmadi, Florian Luca

    Volume: 26

    Article: 23.2.2

    Journal: Journal of Integer Sequences

  • Diophantine triples with distinct binary recurrences

    Authors: Florian Luca, Lászlό Szalay

    Volume: 39(1)

    Pages: 255-264

    Journal: Carpathian Journal of Mathematics

  • On a Variant of an Identity Relating Cubes of Three Consecutive Fibonacci Numbers

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

    Volume: 46

    Paper: 47

    Journal: Bull. Malaysian Math. Soc.

  • On (Almost) Realizable Subsequences of Linearly Recurrent Sequences

    Authors: F. Luca and T. Ward

    Volume: 26

    Article: 23.4.6

    Journal: J. Integer Sequences

  • Big prime factors in orders of elliptic curves over finite fields

    Authors: Yu. F. Bilu, H. Hong and F. Luca

    Volume: 102

    Pages: 459-474

    Journal: Publ. Math. Debrecen

  • On certain partial sums involving squares of Hecke eigenvalues

    Authors: W. Kohnen and F. Luca

    Volume: 46

    Pages: 1-5

    Journal: Hardy--Ramanujan Journal

  • Tribonacci numbers that are products of two Fibonacci numbers

    Authors: Florian Luca, Japhet Odjoumani, and Alain Togbé

    Volume: 61(4)

    Pages: 298-304

    Journal: The Fibonacci Quarterly