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ORCIDFlorian Luca
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- affiliation: University of the Witwatersrand, School of Mathematics, Johannesburg, South Africa
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Journal Articles
- 2024
[j72]Florian Luca
, Pantelimon Stanica:
Asymptotics on a class of S-unit integers. Period. Math. Hung. 88(1): 266-272 (2024)- 2023
- [j71]Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell:
On the 𝑝-adic zeros of the Tribonacci sequence. Math. Comput. 93(347): 1333-1353 (2023) - [j70]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): 422-441 (2023) - 2022
- [j69]Stephan Ramon Garcia, Roger A. Horn, Florian Luca, Kuldeep Sarma:
Powers of Rational Matrices. Am. Math. Mon. 129(2): 177 (2022) - 2020
- [j68]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: 101725 (2020) - [j67]Eric F. Bravo, Carlos Alexis Gómez Ruiz, Florian Luca:
Correction to: X-coordinates of Pell equations as sums of two Tribonacci numbers. Period. Math. Hung. 80(1): 145-146 (2020) - [j66]Carlos A. Gómez, Jhonny C. Gómez, Florian Luca:
Multiplicative dependence between k-Fibonacci and k-Lucas numbers. Period. Math. Hung. 81(2): 217-233 (2020) - 2019
- [j65]Stephan Ramon Garcia, Elvis Kahoro, Florian Luca:
Primitive Root Bias for Twin Primes. Exp. Math. 28(2): 151-160 (2019) - [j64]Cyril Banderier, Florian Luca:
On the Period mod m of Polynomially-Recursive Sequences: a Case Study. J. Integer Seq. 22(5): 19.5.2 (2019) - [j63]Eric F. Bravo, Carlos A. Gómez, Florian Luca:
Product of Consecutive Tribonacci Numbers With Only One Distinct Digit. J. Integer Seq. 22(6): 19.6.3 (2019) - [j62]Bir Kafle, Florian Luca, Alain Togbé:
x-Coordinates of Pell equations which are Tribonacci numbers II. Period. Math. Hung. 79(2): 157-167 (2019) - [j61]Florian Luca, Pantelimon Stanica:
Perfect Squares as Concatenation of Consecutive Integers. Am. Math. Mon. 126(8): 728-734 (2019) - 2018
- [j60]Benedict Vasco Normenyo, Florian Luca, Alain Togbé:
Repdigits as Sums of Four Fibonacci or Lucas Numbers. J. Integer Seq. 21(7): 18.7.7 (2018) - [j59]Javier Cilleruelo, Florian Luca, Lewis Baxter:
Every positive integer is a sum of three palindromes. Math. Comput. 87(314): 3023-3055 (2018) - [j58]Eric F. Bravo, Carlos Alexis Gómez Ruiz, Florian Luca:
X-coordinates of Pell equations as sums of two tribonacci numbers. Period. Math. Hung. 77(2): 175-190 (2018) - [j57]Benedict Vasco Normenyo, Florian Luca, Alain Togbé:
Repdigits as sums of three Pell numbers. Period. Math. Hung. 77(2): 318-328 (2018) - 2017
- [j56]Florian Luca, Pantelimon Stanica:
Counting permutation equivalent degree six binary polynomials invariant under the cyclic group. Appl. Algebra Eng. Commun. Comput. 28(1): 1-10 (2017) - [j55]Florian Luca, László Tóth:
The rth Moment of the Divisor Function: An Elementary Approach. J. Integer Seq. 20(7): 17.7.4 (2017) - [j54]Yuri Bilu, Florian Luca:
Number fields in fibers: the geometrically abelian case with rational critical values. Period. Math. Hung. 75(2): 315-321 (2017) - 2016
- [j53]Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet:
On Sierpinski Numbers of the Form φ(N)/2n. Integers 16: A89 (2016) - [j52]Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski:
Functional graphs of polynomials over finite fields. J. Comb. Theory B 116: 87-122 (2016) - [j51]Javier Cilleruelo, Florian Luca, Amalia Pizarro-Madariaga:
Carmichael numbers in the sequence (2n k+1)n≥1. Math. Comput. 85(297): 357-377 (2016) - [j50]Florian Luca, Pantelimon Stanica:
On Fibonacci numbers which are elliptic Carmichael. Period. Math. Hung. 72(2): 171-179 (2016) - [j49]Stephan Ramon Garcia, Florian Luca:
Quotients of Fibonacci Numbers. Am. Math. Mon. 123(10): 1039-1044 (2016) - 2015
- [j48]Florian Luca, Thato Mosima:
On the Local Minima of the Order of Appearance Function. Int. J. Math. Math. Sci. 2015: 823973:1-823973:3 (2015) - [j47]Shanta Laishram, Florian Luca:
Rectangles Of Nonvisible Lattice Points. J. Integer Seq. 18(10): 15.10.8 (2015) - 2014
- [j46]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): 181-188 (2014) - [j45]Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, Amadou Tall:
Fibonacci Numbers with Prime Sums of Complementary Divisors. Integers 14: A5 (2014) - [j44]Jhon J. Bravo, Florian Luca:
Powers of Two as Sums of Two Lucas Numbers. J. Integer Seq. 17(8): 14.8.3 (2014) - [j43]Florian Luca, Filip Najman:
Errata to "On the largest prime factor of x2-1". Math. Comput. 83(285): 337 (2014) - [j42]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): 1447-1476 (2014) - 2013
- [j41]Florian Luca, Aynur Yalçiner:
Squares in a certain sequence related to L-functions of elliptic curves. Finite Fields Their Appl. 21: 1-10 (2013) - [j40]Florian Luca, Roger Oyono:
The Diophantine Equation Fny + Fn+1x = Fmx. Integers 13: A33 (2013) - [j39]Kevin A. Broughan, Sergio Guzman Sanchez, Florian Luca:
Perfect repdigits. Math. Comput. 82(284): 2439-2459 (2013) - 2012
- [j38]Saúl Díaz Alvarado, Andrej Dujella, Florian Luca:
On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers. Integers 12A: A2 (2012) - [j37]Takao Komatsu, Florian Luca, Yohei Tachiya:
On the Multiplicative Order of Fn+1/Fn Modulo Fm. Integers 12B: A8 (2012) - [j36]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): 1093-1110 (2012) - [j35]Andrej Dujella, Florian Luca:
On the sum of two divisors of (n 2 + 1)/2. Period. Math. Hung. 65(1): 83-96 (2012) - [j34]Frits Beukers, Florian Luca, Frans Oort:
Power Values of Divisor Sums. Am. Math. Mon. 119(5): 373-380 (2012) - 2011
- [j33]R. Balasubramanian, Florian Luca:
On the Number of Factorizations of an Integer. Integers 11: A12 (2011) - [j32]Florian Luca, Herman te Riele:
Aliquot Cycles of Repdigits. Integers 11: A53 (2011) - [j31]Florian Luca, Paul Thomas Young:
Coincidences of Catalan and q-Catalan Numbers. Integers 11A: Article16 (2011) - [j30]William D. Banks, Florian Luca:
Power Totients With Almost Primes. Integers 11A: Article4 (2011) - [j29]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 11A: Article7 (2011) - [j28]Kevin Ford, Florian Luca:
The Number of Solutions of λ(x)=n. Integers 11A: Article9 (2011) - [j27]Florian Luca, Filip Najman:
On the largest prime factor of x2-1. Math. Comput. 80(273): 429-435 (2011) - 2010
- [j26]Javier Cilleruelo, Florian Luca:
On Multiplicative Magic Squares. Electron. J. Comb. 17(1) (2010) - [j25]Kevin A. Broughan, Florian Luca, Igor E. Shparlinski:
Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem. Integers 10: A41 (2010) - 2008
- [j24]Florian Luca:
Prime divisors of binary holonomic sequences. Adv. Appl. Math. 40(2): 168-179 (2008) - 2007
- [j23]Florian Luca, Igor E. Shparlinski:
On finite fields for pairing based cryptography. Adv. Math. Commun. 1(3): 281-286 (2007) - [j22]Florian Luca:
A generalization of a classical zero-sum problem. Discret. Math. 307(13): 1672-1678 (2007) - [j21]Sanka Balasuriya, Florian Luca, Igor E. Shparlinski:
Prime Divisors Of Some Recurrence Sequence. Period. Math. Hung. 54(2): 215-227 (2007) - [j20]Florian Luca, László Szalay:
Power Classes Of Recurrence Sequences. Period. Math. Hung. 54(2): 229-236 (2007) - 2006
- [j19]Florian Luca:
Prime factors of Motzkin numbers. Ars Comb. 80 (2006) - [j18]Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski:
Catalan and Apéry numbers in residue classes. J. Comb. Theory A 113(5): 851-865 (2006) - [j17]Florian Luca, Igor E. Shparlinski:
Elliptic Curves with Low Embedding Degree. J. Cryptol. 19(4): 553-562 (2006) - [j16]Florian Luca, John Ferdinands:
Sometimes Divides σk(): 11090. Am. Math. Mon. 113(4): 372-373 (2006) - [j15]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): 3299-3304 (2006) - 2005
- [j14]Santos Hernández, Florian Luca:
Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem. Graphs Comb. 21(3): 319-323 (2005) - [j13]Éric Levieil, Florian Luca, Igor E. Shparlinski:
Prime divisors of some shifted products. Int. J. Math. Math. Sci. 2005(19): 3057-3073 (2005) - 2004
- [j12]Florian Luca:
Problem 11090. Am. Math. Mon. 111(6): 534 (2004) - 2003
- [j11]István Gaál, István Járási, Florian Luca:
A Remark on Prime Divisors of Lengths of Sides of Heron Triangles. Exp. Math. 12(3): 303-310 (2003) - [j10]Santos Hernández, Florian Luca:
Common factors of shifted Fibonacci numbers. Period. Math. Hung. 47(1-2): 95-110 (2003) - [j9]Florian Luca:
Fermat Primes and Heron Triangles with Prime Power Sides. Am. Math. Mon. 110(1): 46-49 (2003) - [j8]Lenny Jones, Florian Luca:
Euler to the Rescue: 10869. Am. Math. Mon. 110(2): 160 (2003) - 2002
- [j7]Florian Luca:
On the equation 1k+2k+···+nk=x 2. Period. Math. Hung. 44(2): 219-224 (2002) - [j6]Florian Luca, Nasha Komanda:
A Number and Its Totient Are Not Amicable: 10793. Am. Math. Mon. 109(2): 206-207 (2002) - 2001
- [j5]Florian Luca:
On a conjecture of Erdos and Stewart. Math. Comput. 70(234): 893-896 (2001) - [j4]Florian Luca, Francis B. Coghlan:
Can Two Consecutive Numbers Both Be Perfect?: 10711. Am. Math. Mon. 108(1): 80-81 (2001) - 2000
- [j3]Florian Luca:
A Note on r-Full Numbers of the Form l m + k. Period. Math. Hung. 40(1): 53-56 (2000) - [j2]Florian Luca:
The Anti-Social Fermat Number. Am. Math. Mon. 107(2): 171-173 (2000) - [j1]Florian Luca:
Problem 10793. Am. Math. Mon. 107(3): 278 (2000)
Conference and Workshop Papers
- 2024
- [c10]Pavol Kebis, Florian Luca, Joël Ouaknine, Andrew Scoones, James Worrell:
On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words. ICALP 2024: 144:1-144:15 - 2022
- [c9]Florian Luca, Joël Ouaknine, James Worrell:
Algebraic Model Checking for Discrete Linear Dynamical Systems. FORMATS 2022: 3-15 - [c8]Richard Lipton, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell:
On the Skolem Problem and the Skolem Conjecture. LICS 2022: 5:1-5:9 - [c7]Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell:
Skolem Meets Schanuel. MFCS 2022: 20:1-20:15 - [c6]Florian Luca, Joël Ouaknine, James Worrell:
A Universal Skolem Set of Positive Lower Density. MFCS 2022: 73:1-73:12 - 2021
- [c5]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: 28:1-28:17 - [c4]Florian Luca, Joël Ouaknine, James Worrell:
Universal Skolem Sets. LICS 2021: 1-6 - [c3]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: 67:1-67:15 - 2008
- [c2]Edray Goins, Florian Luca, Alain Togbé:
On the Diophantine Equation x2+2alpha5beta13gamma=yn. ANTS 2008: 430-442 - 2007
- [c1]Harold Fredricksen, Eugen J. Ionascu, Florian Luca, Pantelimon Stanica:
Remarks on a Sequence of Minimal Niven Numbers. SSC 2007: 162-168
Informal and Other Publications
- 2024
- [i12]Pavol Kebis, Florian Luca, Joël Ouaknine, Andrew Scoones, James Worrell:
On Transcendence of Numbers Related to Sturmian and Arnoux-Rauzy Words. CoRR abs/2405.05279 (2024) - [i11]Toghrul Karimov, Florian Luca, Joris Nieuwveld, Joël Ouaknine, James Worrell:
On the Decidability of Presburger Arithmetic Expanded with Powers. CoRR abs/2407.05191 (2024) - 2023
- [i10]Florian Luca, James Maynard, Armand Noubissie, Joël Ouaknine, James Worrell:
Skolem Meets Bateman-Horn. CoRR abs/2308.01152 (2023) - [i9]Florian Luca, Joël Ouaknine, James Worrell:
Transcendence of Sturmian Numbers over an Algebraic Base. CoRR abs/2308.13657 (2023) - [i8]Florian Luca, Santanu Sarkar, Pantelimon Stanica:
Representing the inverse map as a composition of quadratics in a finite field of characteristic 2. CoRR abs/2309.17424 (2023) - 2022
- [i7]Nikhil Balaji, Florian Luca:
Terms of Lucas sequences having a large smooth divisor. CoRR abs/2203.12364 (2022) - [i6]Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël Ouaknine, David Purser, James Worrell:
Skolem Meets Schanuel. CoRR abs/2204.13417 (2022) - 2021
- [i5]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 abs/2104.10634 (2021) - 2020
- [i4]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 abs/2007.12282 (2020) - 2013
- [i3]Sergei Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Igor E. Shparlinski:
Functional Graphs of Polynomials over Finite Fields. CoRR abs/1307.2718 (2013) - 2011
- [i2]Jose Arnaldo B. Dris, Florian Luca:
A note on odd perfect numbers. CoRR abs/1103.1437 (2011) - 2005
- [i1]Florian Luca, Igor E. Shparlinski:
Elliptic Curves with Low Embedding Degree. IACR Cryptol. ePrint Arch. 2005: 363 (2005)
Coauthor Index
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