Papers of 2016

  • Quotients of Fibonacci numbers

    Authors: Stephan Ramon Garcia, Florian Luca

    Pages: 1039-1044

    Journal: The American Mathematical Monthly

  • An explicit bound for the number of partitions into roots

    Authors: Florian Luca, Dimbinaina Ralaivaosaona

    Pages: 250-264

    Journal: Journal of Number theory

  • Amicable pairs with few distinct prime factors

    Authors: Florian Luca, M Tip Phaovibul

    Pages: 1725-1732

    Journal: International Journal of Number Theory

  • An elliptic sequence is not a sampled linear recurrence sequence

    Authors: Florian Luca, Tom Ward

    Pages: 1319-1338

    Journal: arXiv preprint arXiv:1610.08109

  • Multiplicative Independence in k-Generalized Fibonacci Sequences

    Authors: Carlos Alexis Gómez Ruiz, Florian Luca

    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

    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

    Pages: 211-237

    Journal: Journal of Number Theory

  • On Fibonacci numbers which are elliptic Carmichael

    Authors: Florian Luca, Pantelimon Stănică

    Pages: 171-179

    Journal: Periodica Mathematica Hungarica

  • On The diophantine equation Fn+ F m= 2 a

    Authors: Jhon J Bravo, Florian Luca

    Pages: 391-400

    Journal: Quaestiones Mathematicae

  • On $ X $-coordinates of Pell equations which are repdigits

    Authors: Bernadette Faye, Florian Luca

    Pages: 381-399

    Journal: arXiv preprint arXiv:1605.03756

  • Diophantine triples of Fibonacci numbers

    Authors: Bo He, Florian Luca, Alain Togbé

    Pages: 57-70

    Journal: Acta Arith

  • Generalized Kloosterman sums

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

    Pages: 237-253

    Journal: Journal of Number Theory

  • GODDARD TWINS

    Authors: Bart Goddard, Florian Luca

    Pages: 1093-1099

    Journal: HOUSTON JOURNAL OF MATHEMATICS

  • On the average number of divisors of the Euler function

    Authors: Florian Luca, Carl Pomerance

    Pages: 257-260

    Journal: PUBLICATIONES MATHEMATICAE-DEBRECEN

  • On consecutive integers divisible by the number of their divisors

    Authors: Titu Andreescu, Florian Luca, M Phaovibul

    Pages: 269-281

    Journal: Acta Arithmetica

  • Factorials and the Ramanujan function

    Authors: Jhon J Bravo, Florian Luca

    Pages: 177-185

    Journal: Glasgow Mathematical Journal

  • Repdigits as Euler functions of Lucas numbers

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

    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

    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

    Pages: 87-122

    Journal: Journal of Combinatorial Theory, Series B

  • Rational products of singular moduli

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

    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

    Pages: 357-377

    Journal: Mathematics of Computation