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List of works by Florian Luca

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Common values of the arithmetic functions ϕ and σ

scientific article published on 24 March 2010
The image of Carmichael’sλ-function

scientific article published in 2014
Pseudoprime reductions of elliptic curves

scientific article published in 2008
Collinear CM-points

scientific article published in 2017
The negative Pell equation and Pythagorean triples

scientific article published in 2000
Quadratic forms representing pth terms of Lucas sequences

article published in 2017
Quotients of Fibonacci Numbers

Estimates for Wieferich numbers

article
On the Number of Factorizations of an Integer

scientific article published in 2011
On a conjecture of Erdős and Stewart

On the solutions of the Diophantine equation Fn±a(10m−1)9=k!

scientific article published in 2022
On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

scientific article published in 2020
On the largest prime factor of the ratio of two generalized Fibonacci numbers

scientific article published in 2015
On perfect powers that are sums of two Fibonacci numbers

scientific article published in 2018
On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence

scientific article published in 2022
On the sum of two divisors of (n 2 + 1)/2

On a Diophantine equation of Ayad and Kihel

On the Local Minima of the Order of Appearance Function

17 Lectures on Fermat Numbers

Power Values of Divisor Sums

scientific article published in 2012
On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials

scientific article published in 2022
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

scientific article published in 2020
On Factorizations of Escalator Numbers

scientific article published in 2007
On the X-coordinates of Pell equations which are products of two Fibonacci numbers

scientific article published in 2019
Perfect repdigits

scientific article published in 2013
On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3

scientific article published in 2020
On prime factors of the sum of two k-Fibonacci numbers

scientific article published in 2018
Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem

scientific article published in 2010
On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers

The Number Of Permutations Which Form Arithmetic Progressions Modulo m

Skolem's conjecture confirmed for a family of exponential equations, III

scientific article published in 2021
Diophantine Triples and k-Generalized Fibonacci Sequences

On a nonintegrality conjecture

scientific article published in 2021
On the proportion of numbers coprime to a given integer

scientific article published on 18 July 2008
Romanov type problems

scientific article published on 08 February 2018
Coprime partitions and Jordan totient functions

scientific article published in 2022
There are no Diophantine quadruples of Pell numbers

scientific article published in 2021
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

scientific article published in 2019
On the spacings between C-nomial coefficients

On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers

On the typical size and cancellations among the coefficients of some modular forms

scientific article published in 2019
Fermat Primes and Heron Triangles with Prime Power Sides

Diophantine triples in linear recurrences of Pisot type

scientific article published on 25 June 2018
The Anti-Social Fermat Number

Asymptotic formulas for certain arithmetic functions

scientific article published in 2008
On members of Lucas sequences which are products of Catalan numbers

scientific article published in 2021
Trinomials, singular moduli and Riffaut's conjecture

scientific article published in 2021
On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$

scientific article published in 2022
Sierpiński and Carmichael numbers

scientific article published in 2015
Fibonacci factoriangular numbers

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