Florian Luca

Orcid: 0000-0003-1321-4422

Affiliations:
  • University of the Witwatersrand, School of Mathematics, Johannesburg, South Africa


According to our database1, Florian Luca authored at least 90 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of two.
  • Erdős number3 of three.

Timeline

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Bibliography

2024
Asymptotics on a class of <i>S</i>-unit integers.
Period. Math. Hung., 2024

On the Decidability of Presburger Arithmetic Expanded with Powers.
CoRR, 2024

On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words.
Proceedings of the 51st International Colloquium on Automata, Languages, and Programming, 2024

2023
On the 𝑝-adic zeros of the Tribonacci sequence.
Math. Comput., October, 2023

Linear combinations of factorial and S-unit in a ternary recurrence sequence with a double root.
Period. Math. Hung., June, 2023

Representing the inverse map as a composition of quadratics in a finite field of characteristic 2.
CoRR, 2023

Transcendence of Sturmian Numbers over an Algebraic Base.
CoRR, 2023

Skolem Meets Bateman-Horn.
CoRR, 2023

2022
Powers of Rational Matrices.
Am. Math. Mon., 2022

Terms of Lucas sequences having a large smooth divisor.
CoRR, 2022

A Universal Skolem Set of Positive Lower Density.
Proceedings of the 47th International Symposium on Mathematical Foundations of Computer Science, 2022

Skolem Meets Schanuel.
Proceedings of the 47th International Symposium on Mathematical Foundations of Computer Science, 2022

On the Skolem Problem and the Skolem Conjecture.
Proceedings of the LICS '22: 37th Annual ACM/IEEE Symposium on Logic in Computer Science, Haifa, Israel, August 2, 2022

Algebraic Model Checking for Discrete Linear Dynamical Systems.
Proceedings of the Formal Modeling and Analysis of Timed Systems, 2022

2021
The Orbit Problem for Parametric Linear Dynamical Systems.
CoRR, 2021

On Positivity and Minimality for Second-Order Holonomic Sequences.
Proceedings of the 46th International Symposium on Mathematical Foundations of Computer Science, 2021

Universal Skolem Sets.
Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 2021

The Orbit Problem for Parametric Linear Dynamical Systems.
Proceedings of the 32nd International Conference on Concurrency Theory, 2021

2020
Multiplicative dependence between k-Fibonacci and k-Lucas numbers.
Period. Math. Hung., 2020

Correction to: <i>X</i>-coordinates of Pell equations as sums of two Tribonacci numbers.
Period. Math. Hung., 2020

Perfect squares representing the number of rational points on elliptic curves over finite field extensions.
Finite Fields Their Appl., 2020

2019
Perfect Squares as Concatenation of Consecutive Integers.
Am. Math. Mon., 2019

<i>x</i>-Coordinates of Pell equations which are Tribonacci numbers II.
Period. Math. Hung., 2019

Product of Consecutive Tribonacci Numbers With Only One Distinct Digit.
J. Integer Seq., 2019

On the Period mod m of Polynomially-Recursive Sequences: a Case Study.
J. Integer Seq., 2019

Primitive Root Bias for Twin Primes.
Exp. Math., 2019

2018
Repdigits as sums of three Pell numbers.
Period. Math. Hung., 2018

<i>X</i>-coordinates of Pell equations as sums of two tribonacci numbers.
Period. Math. Hung., 2018

Every positive integer is a sum of three palindromes.
Math. Comput., 2018

Repdigits as Sums of Four Fibonacci or Lucas Numbers.
J. Integer Seq., 2018

2017
Number fields in fibers: the geometrically abelian case with rational critical values.
Period. Math. Hung., 2017

The rth Moment of the Divisor Function: An Elementary Approach.
J. Integer Seq., 2017

Counting permutation equivalent degree six binary polynomials invariant under the cyclic group.
Appl. Algebra Eng. Commun. Comput., 2017

2016
Quotients of Fibonacci Numbers.
Am. Math. Mon., 2016

On Fibonacci numbers which are elliptic Carmichael.
Period. Math. Hung., 2016

Carmichael numbers in the sequence (2<sup>n</sup> k+1)<sub>n≥1</sub>.
Math. Comput., 2016

Functional graphs of polynomials over finite fields.
J. Comb. Theory B, 2016

On Sierpinski Numbers of the Form φ(N)/2n.
Integers, 2016

2015
Rectangles Of Nonvisible Lattice Points.
J. Integer Seq., 2015

On the Local Minima of the Order of Appearance Function.
Int. J. Math. Math. Sci., 2015

2014
Errata to "On the largest prime factor of x<sup>2</sup>-1".
Math. Comput., 2014

Values of the Euler Φ-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields.
Math. Comput., 2014

Powers of Two as Sums of Two Lucas Numbers.
J. Integer Seq., 2014

Fibonacci Numbers with Prime Sums of Complementary Divisors.
Integers, 2014

VSH and multiplicative modular relations between small primes with polynomial exponents.
Appl. Algebra Eng. Commun. Comput., 2014

2013
Perfect repdigits.
Math. Comput., 2013

The Diophantine Equation Fny + Fn+1x = Fmx.
Integers, 2013

Squares in a certain sequence related to L-functions of elliptic curves.
Finite Fields Their Appl., 2013

Functional Graphs of Polynomials over Finite Fields.
CoRR, 2013

2012
Power Values of Divisor Sums.
Am. Math. Mon., 2012

On the sum of two divisors of (<i>n</i> <sup>2</sup> + 1)/2.
Period. Math. Hung., 2012

On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves.
Math. Comput., 2012

On the Multiplicative Order of Fn+1/Fn Modulo Fm.
Integers, 2012

On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers.
Integers, 2012

2011
On the largest prime factor of x<sup>2</sup>-1.
Math. Comput., 2011

Coincidences of Catalan and q-Catalan Numbers.
Integers, 2011

Aliquot Cycles of Repdigits.
Integers, 2011

The Number of Solutions of λ(x)=n.
Integers, 2011

There Are No Multiply-Perfect Fibonacci Numbers.
Integers, 2011

Power Totients With Almost Primes.
Integers, 2011

On the Number of Factorizations of an Integer.
Integers, 2011

A note on odd perfect numbers.
CoRR, 2011

2010
Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem.
Integers, 2010

On Multiplicative Magic Squares.
Electron. J. Comb., 2010

2008
Prime divisors of binary holonomic sequences.
Adv. Appl. Math., 2008

On the Diophantine Equation x<sup>2</sup>+2<sup>alpha</sup>5<sup>beta</sup>13<sup>gamma</sup>=y<sup>n</sup>.
Proceedings of the Algorithmic Number Theory, 8th International Symposium, 2008

2007
Power Classes Of Recurrence Sequences.
Period. Math. Hung., June, 2007

Prime Divisors Of Some Recurrence Sequence.
Period. Math. Hung., June, 2007

A generalization of a classical zero-sum problem.
Discret. Math., 2007

On finite fields for pairing based cryptography.
Adv. Math. Commun., 2007

Remarks on a Sequence of Minimal Niven Numbers.
Proceedings of the Sequences, Subsequences, and Consequences, International Workshop, 2007

2006
On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences.
IEEE Trans. Inf. Theory, 2006

Sometimes Divides σk(): 11090.
Am. Math. Mon., 2006

Elliptic Curves with Low Embedding Degree.
J. Cryptol., 2006

Catalan and Apéry numbers in residue classes.
J. Comb. Theory A, 2006

Prime factors of Motzkin numbers.
Ars Comb., 2006

2005
Prime divisors of some shifted products.
Int. J. Math. Math. Sci., 2005

Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem.
Graphs Comb., 2005

2004
Problem 11090.
Am. Math. Mon., 2004

2003
Fermat Primes and Heron Triangles with Prime Power Sides.
Am. Math. Mon., 2003

Euler to the Rescue: 10869.
Am. Math. Mon., 2003

Common factors of shifted Fibonacci numbers.
Period. Math. Hung., 2003

A Remark on Prime Divisors of Lengths of Sides of Heron Triangles.
Exp. Math., 2003

2002
A Number and Its Totient Are Not Amicable: 10793.
Am. Math. Mon., 2002

On the equation 1<sup>k</sup>+2<sup>k</sup>+···+n<sup>k</sup>=<i>x</i> <sup>2</sup>.
Period. Math. Hung., 2002

2001
Can Two Consecutive Numbers Both Be Perfect?: 10711.
Am. Math. Mon., 2001

On a conjecture of Erdos and Stewart.
Math. Comput., 2001

2000
Problem 10793.
Am. Math. Mon., 2000

The Anti-Social Fermat Number.
Am. Math. Mon., 2000

A Note on <i>r</i>-Full Numbers of the Form <i>l</i> <sup> <i>m</i> </sup> + <i>k</i>.
Period. Math. Hung., 2000


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