Papers of 2016

  • Quotients of Fibonacci Numbers

    Authors: Stephan Ramon Garcia &Florian Luca

    Volume: 123(10)

    Pages: 1039-1044

    Journal: The American Mathematical Monthly

  • An explicit bound for the number of partitions into roots

    Authors: Florian Luca, Dimbinaina Ralaivaosaona

    Volume: 169

    Pages: 250-264

    Journal: Journal of Number theory

  • Amicable pairs with few distinct prime factors

    Authors: Florian Luca and M. Tip Phaovibul

    Pages: 12(07)

    Pages: 1725-1732

    Journal: International Journal of Number Theory

  • An elliptic sequence is not a sampled linear recurrence sequence

    Authors: F. Luca and T. Ward

    Volume: 22

    Pages: 1319-1338

    Journal: New York Journal of Mathematics

  • Multiplicative Independence in k-Generalized Fibonacci Sequences

    Authors: Carlos Alexis Gómez Ruiz & Florian Luca

    Volume: 56

    Pages: 503-517

    Journal: Lithuanian Mathematical Journal

  • On a divisibility relation for Lucas sequences

    Authors: Yuri F Bilu, Takao Komatsu, Florian Luca, Amalia Pizarro-Madariaga, Pantelimon Stănică

    Volume: 163

    Pages: 1-18

    Journal: Journal of Number Theory

  • Cyclotomic coefficients: gaps and jumps

    Authors: Oana-Maria Camburu, Emil-Alexandru Ciolan, Florian Luca, Pieter Moree, Igor E Shparlinski

    Volume: 163

    Pages: 211-237

    Journal: Journal of Number Theory

  • On Fibonacci numbers which are elliptic Carmichael

    Authors: Florian Luca, Pantelimon Stănică

    Volume: 72

    Pages: 171-179

    Journal: Periodica Mathematica Hungarica

  • On The diophantine equation Fn+Fm=2a

    Authors: Jhon J Bravo, Florian Luca

    Volume: 39(3)

    Pages: 391-400

    Journal: Quaestiones Mathematicae

  • On the $x$-coordinates of Pell equations which are rep-digits

    Authors: Appolinaire Dossavi-Yovo, Florian Luca and Alain Togbé

    Volume: 88

    Pages: 381-399

    Journal: Publicationes Mathematicae

  • Diophantine triples of Fibonacci numbers

    Authors: Bo He, Florian Luca, Alain Togbé

    Volume: 175

    Pages: 57-70

    Journal: Acta Arith

  • Visual properties of generalized Kloosterman sums

    Authors: Paula Burkhardt, Alice Zhuo-Yu Chan, Gabriel Currier, Stephan Ramon Garcia, Florian Luca, Hong Suh

    Volume: 160

    Pages: 237-253

    Journal: Journal of Number Theory

  • GODDARD TWINS

    Authors: Bart Goddard, Florian Luca

    Volume: 42(4)

    Pages: 1093-1099

    Journal: HOUSTON JOURNAL OF MATHEMATICS

  • Corrigendum: "On the average number of divisors of the Euler function"

    Authors: Florian Luca, Carl Pomerance

    Volume: 89(1-2)

    Pages: 257-260

    Journal: PUBLICATIONES MATHEMATICAE-DEBRECEN

  • On consecutive integers divisible by the number of their divisors

    Authors: Titu Andreescu, Florian Luca, M. Tip Phaovibul

    Volume: 173

    Pages: 269-281

    Journal: Acta Arithmetica

  • FACTORIALS AND THE RAMANUJAN FUNCTION

    Authors: JHON J. BRAVO and FLORIAN LUCA

    Volume: 58(1)

    Pages: 177-185

    Journal: Glasgow Mathematical Journal

  • Repdigits as Euler function of Lucas numbers

    Authors: Jhon J Bravo, Bernadette Faye, Florian Luca, Amadou Tall

    Volume: 24(2)

    Pages: 105-126

    Journal: Analele ştiinţifice ale Universităţii" Ovidius" Constanţa. Seria Matematică

  • Powers of two as sums of two $k-$Fibonacci numbers

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

    Volume: 17(1)

    Pages: 85-100

    Journal: Miskolc Mathematical Notes

  • Functional graphs of polynomials over finite fields

    Authors: Sergei V Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E Shparlinski

    Volume: 116

    Pages: 87-122

    Journal: Journal of Combinatorial Theory, Series B

  • Rational products of singular moduli

    Authors: Yuri Bilu, Florian Luca, Amalia Pizarro-Madariaga

    Volume: 158

    Pages: 397-410

    Journal: Journal of Number Theory

  • Carmichael numbers in the sequence (2ⁿ𝑘+ 1) _ {𝑛≥ 1}

    Authors: Javier Cilleruelo, Florian Luca, Amalia Pizarro-Madariaga

    Volume: 85

    Pages: 357-377

    Journal: Mathematics of Computation

  • Finiteness results for Diophantine triples with repdigit values

    Authors: Attila Bérczes, Florian Luca, István Pink, Volker Ziegler

    Volume: 172

    Pages: 133-148

    Journal: Acta Arithmetica

  • Fibonacci Numbers Which are Products of Two Pell Numbers

    Authors: Mahadi Ddamulira, Florian Luca, and Mihaja Rakotomalala

    Volume: 54(1)

    Pages: 11-18

    Journal: Fibonacci Quart.

  • Sylvester's Theorem and the Non-Integrality of a Certain Binomial Sum

    Authors: Daniel López-Aguayo and Florian Luca

    Volume: 54(1)

    Pages: 44-48

    Journal: Fibonacci Quart.

  • A Note on Odd Perfect Numbers

    Authors: Jose Arnaldo B. Dris and Florian Luca

    Volume: 54(4)

    Pages: 291-295

    Journal: Fibonacci Quart.

  • On Sierpiński Numbers of the Form ϕ(N)/2n

    Authors: Marcos J. González, Florian Luca, and V. Janitzio Mejía Huguet

    Volume: 16

    Article: A89

    Journal: INTEGERS