Papers of 2013

  • On the Sum of Digits of Numerators of Bernoulli Numbers

    Authors: Attila Bérczes, Florian Luca

    Volume: 56(4)

    Pages: 723-728

    Journal: Canadian Mathematical Bulletin

  • L-Functions of Elliptic Curves and Fibonacci Numbers

    Authors: F. Luca and A. Yal ̧ciner

    Volume: 51(2)

    Pages: 112-118

    Journal: Bulletin of the Australian Mathematical Society

  • Perfect repdigits

    Authors: Kevin Broughan, Sergio Guzman Sanchez, Florian Luca

    Volume: 82

    Pages: 2439-2459

    Journal: Mathematics of Computation

  • Palindromes in linear recurrence sequences

    Authors: Javier Cilleruelo, Rafael Tesoro, Florian Luca

    Volume: 171

    Pages: 433-442

    Journal: Monatshefte für Mathematik

  • ON THE LARGEST PRIME FACTOR OF THE k-FIBONACCI NUMBERS

    Authors: Jhon J Bravo, Florian Luca

    Volume: 9(5)

    Pages: 1351-1366

    Journal: International Journal of Number Theory

  • ON THE DIOPHANTINE EQUATION f (n)= u!+ v!

    Authors: Florian Luca

    Volume: 48(1)

    Pages: 31-48

    Journal: Glasnik matematički

  • Coincidences in generalized Fibonacci sequences

    Authors: Jhon J Bravo, Florian Luca

    Volume: 133(6)

    Pages: 2121-2137

    Journal: Journal of Number Theory

  • On the diophantine equation x 2+ 2a· 3b· 11c= y n

    Authors: İsmaıl Cangül EMAIL logo , Musa Demırcı , İlker İnam , Florian Luca and Gökhan Soydan

    Volume: 63(3)

    Pages: 647-659

    Journal: Mathematica Slovaca

  • CONSECUTIVE INTEGERS DIVISIBLE BY THE SQUARE OF THEIR LARGEST PRIME FACTORS*

    Authors: Jean-Marie De Koninck, Nicolas Doyon, Florian Luca

    Volume: 5(2)

    Pages: 81-93

    Journal: Journal of Combinatorics and Number Theory

  • Squares in a certain sequence related to L-functions of elliptic curves

    Authors: Florian Luca, Aynur Yalçiner

    Volume: 21

    Pages: 1-10

    Journal: Finite Fields and Their Applications

  • Repdigit Keith numbers

    Authors: Jhon J Bravo, Sergio Guzmán, Florian Luca

    Volume: 53

    Pages: 143-148

    Journal: Lithuanian mathematical journal

  • On the fractional parts of an/n

    Authors: Javier Cilleruelo, Angel Kumchev, Florian Luca, Juanjo Rué, Igor E Shparlinski

    Volume: 45(2)

    Pages: 249-256

    Journal: Bulletin of the London Mathematical Society

  • On a conjecture about repdigits in k-generalized Fibonacci sequences

    Authors: Jhon J Bravo, Florian Luca

    Volume: 82

    Pages: 623-639

    Journal: Publ. Math. Debrecen

  • Control of coupled parabolic systems and Diophantine approximations

    Authors: Florian Luca, Luz de Teresa

    Volume: 61

    Pages: 1-17

    Journal: SeMA Journal

  • On the degree of compositum of two number fields

    Authors: Paulius Drungilas, Artūras Dubickas, Florian Luca

    Volume: 286(2-3)

    Pages: 171-180

    Journal: Mathematische Nachrichten

  • ON THE COUNTING FUNCTION OF TRIPLES WHOSE PAIRWISE PRODUCTS ARE CLOSE TO FIBONACCI NUMBERS

    Authors: Florian Luca, Laszlo Szalay

    Volume: 51(3)

    Pages: 228-232

    Journal: The Fibonacci Quarterly

  • Algebraic independence results for the infinite products generated by Fibonacci numbers

    Authors: Florian Luca, Yohei Tachiya

    Volume: 41

    Pages: 165-173

    Journal: Annales Mathematicae et Informaticae

  • The diophantine equation F_n^y + F_{n+1}^x = F_m^x

    Authors: Roger Oyono, Florian Luca

    Volume: 13

    Pages: A33

    Newspaper: Integers: Electronic Journal of Combinatorial Number Theory

  • On the Fibonacci distances of ab, ac and bc

    Authors: Florian Luca, László Szalay

    Volume: 41

    Pages: 137-163

    Journal: Annales Mathematicae et Informaticae

  • THE EULER FUNCTION OF FIBONACCI AND LUCAS NUMBERS AND FACTORIALS

    Authors: Florian Luca, Pantelimon Stănică

    Volume: 40

    Pages: 119-124

    Journal: Annales Univ. Sci. Budapest. Sect. Comp

  • On the fractional parts of aⁿ/n

    Authors: Javier Cilleruelo, Angel Kumchev, Florian Luca, Juanjo Rué, Igor E Shparlinski

    Volume: 45(2)

    Pages: 249-256

    Journal: Bulletin of the London Mathematical Society

  • Multiplicative relations on binary recurrences

    Authors: Florian Luca, Volker Ziegler

    Volume: 161

    Pages: 183-199

    Journal: Acta Arithmetica

  • On the number of nonzero digits of the Bell number

    Authors: Javier Cilleruelo, Florian Luca, Juanjo Rué, Ana Zumalacárregui

    Volume: 11(1)

    Pages: 188-195

    Journal: Open Mathematics

  • On the sumset of the primes and a linear recurrence

    Authors: Christian Ballot, Florian Luca

    Volume: 161

    Pages: 33-46

    Journal: Acta Arithmetica

  • When do the Fibonacci invertible classes modulo M form a subgroup?

    Authors: Florian Luca, Pantelimon Stănică, Aynur Yalçiner

    Volume: 41

    Pages: 265-270

    Journal: Annales Mathematicae et Informaticae

  • On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers

    Authors: Jhon J Bravo, Takao Komatsu, Florian Luca

    Volume: 24(1)

    Pages: 181-198

    Journal: Indagationes Mathematicae

  • Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations

    Authors: Yuri F Bilu, Clemens Fuchs, Florian Luca, Ákos Pintér

    Volume: 82(1)

    Pages: 219-254

    Journal: PUBLICATIONES MATHEMATICAE-DEBRECEN

  • On the least common multiple of Lucas subsequences

    Authors: Shigeki Akiyama, Florian Luca

    Volume: 161

    Pages: 327-349

    Journal: Acta Arithmetica

  • Concatenating perfect powers

    Authors: Florian Luca

    Volume: 19(1)

    Pages: 53-63

    Journal: Boletín de la Sociedad Matemática Mexicana: Tercera Serie

  • On square values of the product of the Euler totient and sum of divisors functions

    Authors: Kevin Broughan, Kevin Ford, Florian Luca

    Volume: 130

    Pages: 127-137

    Journal: Colloquium Mathematicum

  • On the positive integers n satisfying the equation Fn= x2+ ny2

    Authors: JJ Alba González, Florian Luca

    Volume: 130

    Pages: 95-109

    Journal: Contemporary Math

  • On sums of distinct odd squares arising from a class of totally symmetric plane partitions

    Authors: Aubrey Blecher, Arnold Knopfmacher, Florian Luca, Stephan Wagner

    Volume: 56(2)

    Pages: 163-171

    Journal: Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie

  • In the middle prime factor of an integer

    Authors: Jean-Marie De Koninck, Florian Luca, Fundación Marcos Moshinsky, Circuito Exterior CU

    Volume: 16

    Article: A13.5.5

    Journal: J. Integer Seq

  • On the exponential local-global principle

    Authors: Boris Bartolome, Yuri Bilu, Florian Luca

    Volume: 159

    Pages: 101-111

    Journal: Acta Arithmetica

  • Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers

    Authors: Takao Komatsu, Florian Luca

    Volume: 41

    Pages: 99-105

    Journal: Ann. Math. Inform

  • 𝐿-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES

    Authors: Florian Luca, Roger Oyono and Aynur Yalçiner

    Volume: 88(3)

    Pages: 509-519

    Journal: Bulletin of the Australian Mathematical Society