default search action
Florian Luca
Person information
- affiliation: University of the Witwatersrand, School of Mathematics, Johannesburg, South Africa
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
2020 – today
- 2024
- [j72]Florian Luca
, Pantelimon Stanica
Asymptotics on a class of S-unit integers. Period. Math. Hung. 88(1): 266-272 (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 - [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
- [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) - [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
- [j69]Stephan Ramon Garcia
Powers of Rational Matrices. Am. Math. Mon. 129(2): 177 (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
Skolem Meets Schanuel. MFCS 2022: 20:1-20:15 - [c6]Florian Luca
A Universal Skolem Set of Positive Lower Density. MFCS 2022: 73:1-73:12 - [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
- [c5]Christel Baier
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
On Positivity and Minimality for Second-Order Holonomic Sequences. MFCS 2021: 67:1-67:15 - [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
- [j68]Kwok Chi Chim
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
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
Multiplicative dependence between k-Fibonacci and k-Lucas numbers. Period. Math. Hung. 81(2): 217-233 (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)
2010 – 2019
- 2019
- [j65]Stephan Ramon Garcia
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
x-Coordinates of Pell equations which are Tribonacci numbers II. Period. Math. Hung. 79(2): 157-167 (2019) - [j61]Florian Luca
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
Every positive integer is a sum of three palindromes. Math. Comput. 87(314): 3023-3055 (2018) - [j58]Eric F. Bravo
X-coordinates of Pell equations as sums of two tribonacci numbers. Period. Math. Hung. 77(2): 175-190 (2018) - [j57]Benedict Vasco Normenyo
Repdigits as sums of three Pell numbers. Period. Math. Hung. 77(2): 318-328 (2018) - 2017
- [j56]Florian Luca
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
Functional graphs of polynomials over finite fields. J. Comb. Theory B 116: 87-122 (2016) - [j51]Javier Cilleruelo, Florian Luca
Carmichael numbers in the sequence (2n k+1)n≥1. Math. Comput. 85(297): 357-377 (2016) - [j50]Florian Luca
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
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
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
Errata to "On the largest prime factor of x2-1". Math. Comput. 83(285): 337 (2014) - [j42]Kevin Ford, Florian Luca
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
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) - [i3]Sergei Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Igor E. Shparlinski:
Functional Graphs of Polynomials over Finite Fields. CoRR abs/1307.2718 (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
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
On the sum of two divisors of (n 2 + 1)/2. Period. Math. Hung. 65(1): 83-96 (2012) - [j34]Frits Beukers, Florian Luca
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
On the largest prime factor of x2-1. Math. Comput. 80(273): 429-435 (2011) - [i2]Jose Arnaldo B. Dris, Florian Luca:
A note on odd perfect numbers. CoRR abs/1103.1437 (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)
2000 – 2009
- 2008
- [j24]Florian Luca:
Prime divisors of binary holonomic sequences. Adv. Appl. Math. 40(2): 168-179 (2008) - [c2]Edray Goins, Florian Luca, Alain Togbé:
On the Diophantine Equation x2+2alpha5beta13gamma=yn. ANTS 2008: 430-442 - 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) - [c1]Harold Fredricksen, Eugen J. Ionascu, Florian Luca, Pantelimon Stanica:
Remarks on a Sequence of Minimal Niven Numbers. SSC 2007: 162-168 - 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
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) - [i1]Florian Luca, Igor E. Shparlinski:
Elliptic Curves with Low Embedding Degree. IACR Cryptol. ePrint Arch. 2005: 363 (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)
Coauthor Index
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from ,
, and
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and
to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-08-13 21:45 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by: