Papers of 2014

  • k-generalized Fibonacci numbers of the form 1+ 2^{n_1}+ 4^{n_2}+\cdots+ (2^{k})^{n_k}

    Authors: Carlos Alexis Gomez Ruiz, Florian Luca

    Pages: 321-332

    Journal: Mathematical Communications

  • Power of two-classes in k-generalized Fibonacci sequences

    Authors: Carlos Alexis Gómez, Florian Luca

    Pages: 219-234

    Journal: Revista Colombiana de Matemáticas

  • Linear combinations of factorials and s-units in a binary recurrence sequence

    Authors: Sergio Guzmán Sanchez, Florian Luca

    Pages: 169-188

    Journal: Annales mathématiques du Québec

  • The image of Carmichael’s λ-function

    Authors: Kevin Ford, Florian Luca, Carl Pomerance

    Pages: 2009-2025

    Journal: Algebra & Number Theory

  • On Fibonacci numbers which are elliptic Korselt numbers

    Authors: Florian Luca, Pantelimon Stanica

    Pages: 164-167

    Journal: Proceedings of the International Conference Fibonacci Numbers and Applications

  • Squares and factorials in products of factorials

    Authors: F Luca, N Saradha, TN Shorey

    Pages: 385-400

    Journal: Monatshefte für Mathematik

  • Linear independence of certain Lambert series

    Authors: Florian Luca, Yohei Tachiya

    Pages: 3411-3419

    Journal: Proceedings of the American Mathematical Society

  • ON NUMBERS OF THE FORM p+ 2^ sup n^-n

    Authors: Florian Luca, Pantelimon Stanica

    Pages: 157-162

    Journal: Journal of Combinatorics and Number Theory

  • On integers which are the sum of a power of 2 and a polynomial value

    Authors: Florian Luca, Carlos Gustavo Moreira, Carl Pomerance

    Pages: 559-574

    Journal: Bulletin of the Brazilian Mathematical Society, New Series

  • On the range of Carmichael’s universal–exponent function

    Authors: KEVIN FORD, FLORIAN LUCA, CARL POMERANCE

    Pages: 289-308

  • On the local behavior of the order of appearance in the Fibonacci sequence

    Authors: Florian Luca, Carl Pomerance

    Pages: 915-933

    Journal: International Journal of Number Theory

  • VSH and multiplicative modular relations between small primes with polynomial exponents

    Authors: Ian F Blake, Florian Luca, Igor E Shparlinski

    Pages: 181-188

    Journal: Applicable Algebra in Engineering, Communication and Computing

  • On the sum of squares of the prime factors function at consecutive integers

    Authors: Jean-Marie Koninck, Florian Luca

    Pages: 155-164

    Journal: Studia Scientiarum Mathematicarum Hungarica

  • Expansions of binary recurrences in the additive base formed by the number of divisors of the factorial

    Authors: Florian Luca, AUGUSTINE O MUNAGI

    Pages: 193-209

  • Irrationality of Lambert series associated with a periodic sequence

    Authors: Florian Luca, Yohei Tachiya

    Pages: 623-636

    Journal: International Journal of Number Theory

  • Repdigits in k-Lucas sequences

    Authors: Jhon J Bravo, Florian Luca

    Pages: 141-154

    Journal: Proceedings-Mathematical Sciences

  • A note on the denominators of Bernoulli numbers

    Authors: Takao Komatsu, Florian Luca, Claudio de J. Pita Ruiz V

    Pages: 71-72

  • Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields

    Authors: Kevin Ford, Florian Luca, Pieter Moree

    Pages: 1447-1476

    Journal: Mathematics of Computation

  • The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence

    Authors: Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 579-587

    Journal: Indagationes Mathematicae

  • A note on the number of $ S $-Diophantine quadruples

    Authors: Florian Luca, Volker Ziegler

    Pages: 49-55

    Journal: arXiv preprint arXiv:1403.1674

  • On the counting function of elliptic Carmichael numbers

    Authors: Florian Luca, Igor E Shparlinski

    Pages: 105-112

    Journal: Canadian Mathematical Bulletin

  • Coincidences in generalized Lucas sequences

    Authors: Eric F Bravo, Jhon J Bravo, Florian Luca

    Pages: 296-306

    Journal: arXiv preprint arXiv:1402.4085

  • Algebraic independence of infinite products generated by Fibonacci and Lucas numbers

    Authors: Florian Luca, Yohei Tachiya

    Pages: 1-20

    Journal: Hokkaido Math. J

  • k-generalized Fibonacci numbers of the form 1+2n1 +(22)n2 +···+(2k)nk

    Authors: Carlos Alexis Gómez Ruız, Florian Luca

    Pages: 321-332

    Journal: Math. Commun

  • Fibonacci numbers of the form xa±xb±1

    Authors: Shanta Laishram, Florian Luca

    Pages: 290-295

    Journal: The Fibonacci Quart

  • Fibonacci Numbers with Prime Sums of Complementary Divisors.

    Authors: Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, Amadou Tall

    Pages: A5

    Journal: Integers

  • Members of Lucas sequences whose Euler function is a power of 2

    Authors: Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, Amadou Tall

    Pages: 3-9

    Journal: Fibonacci Quart

  • On a binary recurrent sequence of polynomials

    Authors: Reinhardt Euler, Luis H Gallardo, Florian Luca

    Pages: 151-157

    Journal: Communications in Mathematics

  • An exponential Diophantine equation related to the sum of powers of two consecutive k-generalized Fibonacci numbers

    Authors: CA Gómez Ruiz, Florian Luca

    Pages: 171-188

    Journal: Colloq. Math

  • Equations with arithmetic functions of Pell numbers

    Authors: Florian Luca, Pantelimon Stănică

    Pages: 409-413

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

  • On the first digits of the Fibonacci numbers and their Euler function

    Authors: Florian Luca, Pantelimon Stanica

    Pages: 21-25

    Journal: Uniform Distribution Theory Journal

  • Expansions of binary recurrences in the additive base formed by the number of divisors of the factorial

    Authors: Florian Luca, Augustine O Munagi

    Pages: 193-209

    Journal: Colloquium Mathematicum

  • Generalized poly-Cauchy polynomials and their interpolating functions

    Authors: Takao Komatsu, Florian Luca

    Pages: 13-30

    Journal: Colloquium Mathematicum

  • On the range of Carmichael’s universal-exponent function

    Authors: Florian Luca, Carl Pomerance

    Pages: 289-308

    Journal: Acta Arith

  • Powers of Two as Sums of Two Lucas Numbers.

    Authors: Jhon J Bravo, Florian Luca

    Pages: 14.8.3

    Journal: J. Integer Seq.

  • On the sum of the first n values of the Euler function

    Authors: R Balasubramanian, Florian Luca, Dimbinaina Ralaivaosaona

    Pages: 199-201

    Journal: Acta Arithmetica