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 Gómez Ruiz, Florian Luca

    Volume: 19(2)

    Pages: 321-332

    Journal: Mathematical Communications

  • Power of Two–Classes ink–GeneralizedFibonacci Sequences

    Authors: Carlos Alexis Gómez, Florian Luca

    Volume: 48(2)

    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

    Volume: 38

    Pages: 169-188

    Journal: Annales mathématiques du Québec

  • The image of Carmichael’s λ-function

    Authors: Kevin Ford, Florian Luca, Carl Pomerance

    Volume: 8(8)

    Pages: 2009-2025

    Journal: Algebra & Number Theory

  • On Fibonacci Numbers Which Are Elliptic Korselt Numbers

    Authors: Florian Luca and Pantelimon Stănică

    Volume: 52(5)

    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

    Volume: 175

    Pages: 385-400

    Journal: Monatshefte für Mathematik

  • Linear independence of certain Lambert series

    Authors: Florian Luca, Yohei Tachiya

    Volume: 142

    Pages: 3411-3419

    Journal: Proceedings of the American Mathematical Society

  • ON NUMBERS OF THE FORM p + 2n − n∗

    Authors: Florian Luca and Pantelimon Stănică

    Volume: 6(3)

    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

    Volume: 45

    Pages: 559-574

    Journal: Bulletin of the Brazilian Mathematical Society, New Series

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

    Authors: Florian Luca, Carl Pomerance

    Volume: 162

    Pages: 289-308

    Journal: Acta Arithmetica

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

    Authors: Florian Luca, Carl Pomerance

    Volume: 10(4)

    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

    Volume: 25

    Pages: 181-188

    Journal: Applicable Algebra in Engineering, Communication and Computing

  • Arithmetic functions monotonic at consecutive arguments

    Authors: Jean-Marie Koninck, Florian Luca

    Volume: 51(2)

    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

    Volume: 134

    Pages: 193-209

  • IRRATIONALITY OF LAMBERT SERIES ASSOCIATED WITH A PERIODIC SEQUENCE

    Authors: Florian Luca, Yohei Tachiya

    Volume: 10(3)

    Pages: 623-636

    Journal: International Journal of Number Theory

  • Repdigits in k-Lucas sequences

    Authors: Jhon J Bravo, Florian Luca

    Volume: 124

    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.

    Volume: 90(5)

    Pages: 71-72

    Journal: Proc. Japan Acad. Ser. A Math. Sci.

  • 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

    Volume: 83

    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

    Volume: 25(3)

    Pages: 579-587

    Journal: Indagationes Mathematicae

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

    Authors: Florian Luca, Volker Ziegler

    Volume: 22(1)

    Pages: 49-55

    Journal: Communications in Mathematics

  • On the counting function of elliptic Carmichael numbers

    Authors: Florian Luca, Igor E Shparlinski

    Volume: 57(1)

    Pages: 105-112

    Journal: Canadian Mathematical Bulletin

  • COINCIDENCES IN GENERALIZED LUCAS SEQUENCES

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

    Volume: 52(4)

    Pages: 296-306

    Journal: The Fibonacci Quarterly

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

    Authors: Florian Luca, Yohei Tachiya

    Volume: 43(1)

    Pages: 1-20

    Journal: Hokkaido Math. J

  • Fibonacci numbers of the form xa±xb±1

    Authors: Shanta Laishram, Florian Luca

    Volume: 52(4)

    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

    Volume: 14

    Article: 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

    Volume: 52(1)

    Pages: 3-9

    Journal: Fibonacci Quart

  • On a binary recurrent sequence of polynomials

    Authors: Reinhardt Euler, Luis H Gallardo, Florian Luca

    Volume: 22(2)

    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

    Volume: 137

    Pages: 171-188

    Journal: Colloq. Math

  • Equations with arithmetic functions of Pell numbers

    Authors: Florian Luca, Pantelimon Stănică

    Volume: 57(4)

    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 Stănică

    Volume: 9(1)

    Pages: 21-25

    Journal: Uniform Distribution Theory Journal

  • Generalized poly-Cauchy polynomials and their interpolating functions

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

    Volume: 136

    Pages: 13-30

    Journal: Colloquium Mathematicum

  • Powers of Two as Sums of Two Lucas Numbers.

    Authors: Jhon J Bravo, Florian Luca

    Volume: 17

    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

    Volume: 163

    Pages: 199-201

    Journal: Acta Arithmetica