List of works - Florian Luca

17 Lectures on Fermat Numbers

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

scientific article published in 2019

Asymptotic formulas for certain arithmetic functions

scientific article published in 2008

Collinear CM-points

scientific article published in 2017

Common values of the arithmetic functions ϕ and σ

scientific article published on 24 March 2010

Coprime partitions and Jordan totient functions

scientific article published in 2022

Diophantine Triples and k-Generalized Fibonacci Sequences

Diophantine triples in linear recurrences of Pisot type

scientific article published on 25 June 2018

Estimates for Wieferich numbers

article

Fermat Primes and Heron Triangles with Prime Power Sides

Fibonacci factoriangular numbers

On Factorizations of Escalator Numbers

scientific article published in 2007

On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers

On a Diophantine equation of Ayad and Kihel

On a conjecture of Erdős and Stewart

On a nonintegrality conjecture

scientific article published in 2021

On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence

scientific article published in 2022

On members of Lucas sequences which are products of Catalan numbers

scientific article published in 2021

On perfect powers that are sums of two Fibonacci numbers

scientific article published in 2018

On prime factors of the sum of two k-Fibonacci numbers

scientific article published in 2018

On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers

On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$

scientific article published in 2022

On the Local Minima of the Order of Appearance Function

On the Number of Factorizations of an Integer

scientific article published in 2011

On the X-coordinates of Pell equations which are products of two Fibonacci numbers

scientific article published in 2019

On the complexity of algebraic numbers

scientific article published in July 2004

On the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+\cdots+F_{n+k-1}^{x}=F_{m}$

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 the largest prime factor of the ratio of two generalized Fibonacci numbers

scientific article published in 2015

On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials

scientific article published in 2022

On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3

scientific article published in 2020

On the proportion of numbers coprime to a given integer

scientific article published on 18 July 2008

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

scientific article published in 2022

On the spacings between C-nomial coefficients

On the sum of two divisors of (n 2 + 1)/2

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

scientific article published in 2019

On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

scientific article published in 2020

Perfect fibonacci and lucas numbers

Perfect powers in the summatory function of the power tower

Perfect repdigits

scientific article published in 2013

Power Values of Divisor Sums

scientific article published in 2012

Pseudoprime reductions of elliptic curves

scientific article published in 2008

Quadratic forms representing pth terms of Lucas sequences

article published in 2017

Quotients of Fibonacci Numbers

Romanov type problems

scientific article published on 08 February 2018

Sierpiński and Carmichael numbers

scientific article published in 2015

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

scientific article published in 2021

Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem

scientific article published in 2010

The Anti-Social Fermat Number

The Number Of Permutations Which Form Arithmetic Progressions Modulo m

The image of Carmichael’sλ-function ⬇️

scientific article published in 2014

The negative Pell equation and Pythagorean triples

scientific article published in 2000

There are no Diophantine quadruples of Pell numbers

scientific article published in 2021

Trinomials, singular moduli and Riffaut's conjecture

scientific article published in 2021

List of works by Florian Luca

17 Lectures on Fermat Numbers

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Asymptotic formulas for certain arithmetic functions

Collinear CM-points

Common values of the arithmetic functions ϕ and σ

Coprime partitions and Jordan totient functions

Diophantine Triples and k-Generalized Fibonacci Sequences

Diophantine triples in linear recurrences of Pisot type

Estimates for Wieferich numbers

Fermat Primes and Heron Triangles with Prime Power Sides

Fibonacci factoriangular numbers

On Factorizations of Escalator Numbers

On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers

On a Diophantine equation of Ayad and Kihel

On a conjecture of Erdős and Stewart

On a nonintegrality conjecture

On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence

On members of Lucas sequences which are products of Catalan numbers

On perfect powers that are sums of two Fibonacci numbers

On prime factors of the sum of two k-Fibonacci numbers

On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers

On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$

On the Local Minima of the Order of Appearance Function

On the Number of Factorizations of an Integer

On the X-coordinates of Pell equations which are products of two Fibonacci numbers

On the complexity of algebraic numbers

On the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+\cdots+F_{n+k-1}^{x}=F_{m}$

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

On the largest prime factor of the ratio of two generalized Fibonacci numbers

On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials

On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3

On the proportion of numbers coprime to a given integer

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

On the spacings between C-nomial coefficients

On the sum of two divisors of (n 2 + 1)/2

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

On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

Perfect fibonacci and lucas numbers

Perfect powers in the summatory function of the power tower

Perfect repdigits

Power Values of Divisor Sums

Pseudoprime reductions of elliptic curves

Quadratic forms representing pth terms of Lucas sequences

Quotients of Fibonacci Numbers

Romanov type problems

Sierpiński and Carmichael numbers

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

Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem

The Anti-Social Fermat Number

The Number Of Permutations Which Form Arithmetic Progressions Modulo m

The image of Carmichael’sλ-function ⬇️

The negative Pell equation and Pythagorean triples

There are no Diophantine quadruples of Pell numbers

Trinomials, singular moduli and Riffaut's conjecture