Florian Luca

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 41

Top Topics

Presburger Arithmetic

Weibull Distribution

Linear Dynamical Systems

Top Venues

Period. Math. Hung.

J. Integer Seq.

Publications

Florian Luca, Pantelimon Stanica
-unit integers. Period. Math. Hung. 88 (1) (2024)
Toghrul Karimov, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell
On the Decidability of Presburger Arithmetic Expanded with Powers. CoRR (2024)
Pavol Kebis, Florian Luca, Joël Ouaknine, Andrew Scoones, James Worrell
On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words. CoRR (2024)
Pavol Kebis, Florian Luca, Joël Ouaknine, Andrew Scoones, James Worrell
On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words. ICALP (2024)
Florian Luca, Armand Noubissie
Linear combinations of factorial and S-unit in a ternary recurrence sequence with a double root. Period. Math. Hung. 86 (2) (2023)
Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell
On the 𝑝-adic zeros of the Tribonacci sequence. Math. Comput. 93 (347) (2023)
Florian Luca, James Maynard, Armand Noubissie, Joël Ouaknine, James Worrell
Skolem Meets Bateman-Horn. CoRR (2023)
Florian Luca, Santanu Sarkar, Pantelimon Stanica
Representing the inverse map as a composition of quadratics in a finite field of characteristic 2. CoRR (2023)
Florian Luca, Joël Ouaknine, James Worrell
Transcendence of Sturmian Numbers over an Algebraic Base. CoRR (2023)
Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell
Skolem Meets Schanuel. CoRR (2022)
Stephan Ramon Garcia, Roger A. Horn, Florian Luca, Kuldeep Sarma
Powers of Rational Matrices. Am. Math. Mon. 129 (2) (2022)
Nikhil Balaji, Florian Luca
Terms of Lucas sequences having a large smooth divisor. CoRR (2022)
Florian Luca, Joël Ouaknine, James Worrell
Algebraic Model Checking for Discrete Linear Dynamical Systems. FORMATS (2022)
Richard Lipton, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell
On the Skolem Problem and the Skolem Conjecture. LICS (2022)
Florian Luca, Joël Ouaknine, James Worrell
A Universal Skolem Set of Positive Lower Density. MFCS (2022)
Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell
Skolem Meets Schanuel. MFCS (2022)
George Kenison, Oleksiy Klurman, Engel Lefaucheux, Florian Luca, Pieter Moree, Joël Ouaknine, Markus A. Whiteland, James Worrell
On Positivity and Minimality for Second-Order Holonomic Sequences. MFCS (2021)
Christel Baier, Florian Funke, Simon Jantsch, Toghrul Karimov, Engel Lefaucheux, Florian Luca, Joël Ouaknine, David Purser, Markus A. Whiteland, James Worrell
The Orbit Problem for Parametric Linear Dynamical Systems. CONCUR (2021)
Florian Luca, Joël Ouaknine, James Worrell
Universal Skolem Sets. LICS (2021)
Christel Baier, Florian Funke, Simon Jantsch, Engel Lefaucheux, Florian Luca, Joël Ouaknine, David Purser, Markus A. Whiteland, James Worrell
The Orbit Problem for Parametric Linear Dynamical Systems. CoRR (2021)
Eric F. Bravo, Carlos Alexis Gómez Ruiz, Florian Luca
-coordinates of Pell equations as sums of two Tribonacci numbers. Period. Math. Hung. 80 (1) (2020)
Kwok Chi Chim, Florian Luca
Perfect squares representing the number of rational points on elliptic curves over finite field extensions. Finite Fields Their Appl. 67 (2020)
George Kenison, Oleksiy Klurman, Engel Lefaucheux, Florian Luca, Pieter Moree, Joël Ouaknine, Markus A. Whiteland, James Worrell
On Positivity and Minimality for Second-Order Holonomic Sequences. CoRR (2020)
Carlos A. Gómez, Jhonny C. Gómez, Florian Luca
Multiplicative dependence between k-Fibonacci and k-Lucas numbers. Period. Math. Hung. 81 (2) (2020)
Cyril Banderier, Florian Luca
On the Period mod m of Polynomially-Recursive Sequences: a Case Study. J. Integer Seq. 22 (5) (2019)
Stephan Ramon Garcia, Elvis Kahoro, Florian Luca
Primitive Root Bias for Twin Primes. Exp. Math. 28 (2) (2019)
Eric F. Bravo, Carlos A. Gómez, Florian Luca
Product of Consecutive Tribonacci Numbers With Only One Distinct Digit. J. Integer Seq. 22 (6) (2019)
Bir Kafle, Florian Luca, Alain Togbé
-Coordinates of Pell equations which are Tribonacci numbers II. Period. Math. Hung. 79 (2) (2019)
Florian Luca, Pantelimon Stanica
Perfect Squares as Concatenation of Consecutive Integers. Am. Math. Mon. 126 (8) (2019)
Javier Cilleruelo, Florian Luca, Lewis Baxter
Every positive integer is a sum of three palindromes. Math. Comput. 87 (314) (2018)
Benedict Vasco Normenyo, Florian Luca, Alain Togbé
Repdigits as Sums of Four Fibonacci or Lucas Numbers. J. Integer Seq. 21 (7) (2018)
Benedict Vasco Normenyo, Florian Luca, Alain Togbé
Repdigits as sums of three Pell numbers. Period. Math. Hung. 77 (2) (2018)
Eric F. Bravo, Carlos Alexis Gómez Ruiz, Florian Luca
-coordinates of Pell equations as sums of two tribonacci numbers. Period. Math. Hung. 77 (2) (2018)
Florian Luca, Pantelimon Stanica
Counting permutation equivalent degree six binary polynomials invariant under the cyclic group. Appl. Algebra Eng. Commun. Comput. 28 (1) (2017)
Florian Luca, László Tóth
The rth Moment of the Divisor Function: An Elementary Approach. J. Integer Seq. 20 (7) (2017)
Yuri Bilu, Florian Luca
Number fields in fibers: the geometrically abelian case with rational critical values. Period. Math. Hung. 75 (2) (2017)
Florian Luca, Pantelimon Stanica
On Fibonacci numbers which are elliptic Carmichael. Period. Math. Hung. 72 (2) (2016)
Stephan Ramon Garcia, Florian Luca
Quotients of Fibonacci Numbers. Am. Math. Mon. 123 (10) (2016)
Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski
Functional graphs of polynomials over finite fields. J. Comb. Theory, Ser. B 116 (2016)
Javier Cilleruelo, Florian Luca, Amalia Pizarro-Madariaga
. Math. Comput. 85 (297) (2016)
Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet
On Sierpinski Numbers of the Form φ(N)/2n. Integers 16 (2016)
Florian Luca, Thato Mosima
On the Local Minima of the Order of Appearance Function. Int. J. Math. Math. Sci. 2015 (2015)
Shanta Laishram, Florian Luca
Rectangles Of Nonvisible Lattice Points. J. Integer Seq. 18 (10) (2015)
Jhon J. Bravo, Florian Luca
Powers of Two as Sums of Two Lucas Numbers. J. Integer Seq. 17 (8) (2014)
Ian F. Blake, Florian Luca, Igor E. Shparlinski
VSH and multiplicative modular relations between small primes with polynomial exponents. Appl. Algebra Eng. Commun. Comput. 25 (3) (2014)
Florian Luca, Filip Najman
-1". Math. Comput. 83 (285) (2014)
Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, Amadou Tall
Fibonacci Numbers with Prime Sums of Complementary Divisors. Integers 14 (2014)
Kevin Ford, Florian Luca, Pieter Moree
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. 83 (287) (2014)
Florian Luca, Roger Oyono
The Diophantine Equation Fny + Fn+1x = Fmx. Integers 13 (2013)
Sergei Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Igor E. Shparlinski
Functional Graphs of Polynomials over Finite Fields. CoRR (2013)
Florian Luca, Aynur Yalçiner
Squares in a certain sequence related to L-functions of elliptic curves. Finite Fields Their Appl. 21 (2013)
Kevin A. Broughan, Sergio Guzman Sanchez, Florian Luca
Perfect repdigits. Math. Comput. 82 (284) (2013)
Takao Komatsu, Florian Luca, Yohei Tachiya
On the Multiplicative Order of Fn+1/Fn Modulo Fm. Integers (2012)
Andrej Dujella, Florian Luca
+ 1)/2. Period. Math. Hung. 65 (1) (2012)
Saúl Díaz Alvarado, Andrej Dujella, Florian Luca
On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers. Integers (2012)
Jorge Jiménez Urroz, Florian Luca, Igor E. Shparlinski
On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves. Math. Comput. 81 (278) (2012)
Frits Beukers, Florian Luca, Frans Oort
Power Values of Divisor Sums. Am. Math. Mon. 119 (5) (2012)
Kevin Ford, Florian Luca
The Number of Solutions of λ(x)=n. Integers (2011)
Jose Arnaldo B. Dris, Florian Luca
A note on odd perfect numbers. CoRR (2011)
Florian Luca, Paul Thomas Young
Coincidences of Catalan and q-Catalan Numbers. Integers (2011)
R. Balasubramanian, Florian Luca
On the Number of Factorizations of an Integer. Integers 11 (2011)
William D. Banks, Florian Luca
Power Totients With Almost Primes. Integers (2011)
Florian Luca, Herman te Riele
Aliquot Cycles of Repdigits. Integers 11 (2011)
Florian Luca, Filip Najman
-1. Math. Comput. 80 (273) (2011)
Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, Florian Luca, V. Janitzio Mejía Huguet, Alain Togbé
There Are No Multiply-Perfect Fibonacci Numbers. Integers (2011)
Javier Cilleruelo, Florian Luca
On Multiplicative Magic Squares. Electron. J. Comb. 17 (1) (2010)
Kevin A. Broughan, Florian Luca, Igor E. Shparlinski
Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem. Integers 10 (2010)
Florian Luca
Prime divisors of binary holonomic sequences. Adv. Appl. Math. 40 (2) (2008)
Edray Goins, Florian Luca, Alain Togbé
. ANTS (2008)
H. Fredricksen, Eugen J. Ionascu, Florian Luca, Pantelimon Stanica
Remarks on a Sequence of Minimal Niven Numbers. SSC (2007)
Florian Luca, László Szalay
Power Classes Of Recurrence Sequences. Period. Math. Hung. 54 (2) (2007)
Sanka Balasuriya, Florian Luca, Igor E. Shparlinski
Prime Divisors Of Some Recurrence Sequence. Period. Math. Hung. 54 (2) (2007)
Florian Luca
A generalization of a classical zero-sum problem. Discret. Math. 307 (13) (2007)
Florian Luca, Igor E. Shparlinski
On finite fields for pairing based cryptography. Adv. Math. Commun. 1 (3) (2007)
Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski
Catalan and Apéry numbers in residue classes. J. Comb. Theory, Ser. A 113 (5) (2006)
Florian Luca, John Ferdinands
Sometimes Divides σk(): 11090. Am. Math. Mon. 113 (4) (2006)
Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski, Arne Winterhof
On the Lower Bound of the Linear Complexity Over BBF_p of Sidelnikov Sequences. IEEE Trans. Inf. Theory 52 (7) (2006)
Florian Luca
Prime factors of Motzkin numbers. Ars Comb. 80 (2006)
Florian Luca, Igor E. Shparlinski
Elliptic Curves with Low Embedding Degree. J. Cryptol. 19 (4) (2006)
Santos Hernández, Florian Luca
Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem. Graphs Comb. 21 (3) (2005)
Florian Luca, Igor E. Shparlinski
Elliptic Curves with Low Embedding Degree. IACR Cryptol. ePrint Arch. 2005 (2005)
Éric Levieil, Florian Luca, Igor E. Shparlinski
Prime divisors of some shifted products. Int. J. Math. Math. Sci. 2005 (19) (2005)
Florian Luca
Problem 11090. Am. Math. Mon. 111 (6) (2004)
Florian Luca
Fermat Primes and Heron Triangles with Prime Power Sides. Am. Math. Mon. 110 (1) (2003)
Lenny Jones, Florian Luca
Euler to the Rescue: 10869. Am. Math. Mon. 110 (2) (2003)
István Gaál, István Járási, Florian Luca
A Remark on Prime Divisors of Lengths of Sides of Heron Triangles. Exp. Math. 12 (3) (2003)
Santos Hernández, Florian Luca
Common factors of shifted Fibonacci numbers. Period. Math. Hung. 47 (1-2) (2003)
Florian Luca
. Period. Math. Hung. 44 (2) (2002)
Florian Luca, Nasha Komanda
A Number and Its Totient Are Not Amicable: 10793. Am. Math. Mon. 109 (2) (2002)
Florian Luca
On a conjecture of Erdos and Stewart. Math. Comput. 70 (234) (2001)
Florian Luca, Francis B. Coghlan
Can Two Consecutive Numbers Both Be Perfect?: 10711. Am. Math. Mon. 108 (1) (2001)
Florian Luca
Problem 10793. Am. Math. Mon. 107 (3) (2000)
Florian Luca
The Anti-Social Fermat Number. Am. Math. Mon. 107 (2) (2000)
Florian Luca
. Period. Math. Hung. 40 (1) (2000)