Linear combinations of factorials and \(S\)-units in a binary recurrence sequence. Zbl 1361.11007
Sanchez, Sergio Guzmán;Luca, Florian | | 2014 |
Powers of two as sums of two \(k\)-Fibonacci numbers. Zbl 1389.11041
Bravo, Jhon J.;Gómez, Carlos A.;Luca, Florian | | 2016 |
Fibonacci and Lucas numbers with only one distinct digit. Zbl 0958.11007
Luca, F. | | 2000 |
On a conjecture about repdigits in \(k\)-generalized Fibonacci sequences. Zbl 1274.11035
Bravo, Jhon J.;Luca, Florian | | 2013 |
Powers of two in generalized Fibonacci sequences. Zbl 1353.11020
Bravo, Jhon J.;Luca, Florian | | 2012 |
Analytic number theory. Exploring the anatomy of integers. Zbl 1247.11001
De Koninck, Jean-Marie;Luca, Florian | | 2012 |
On the complexity of algebraic numbers. (Sur la complexité des nombres algébriques.) Zbl 1119.11019
Adamczewski, Boris;Bugeaud, Yann;Luca, Florian | | 2004 |
Pell and Pell-Lucas numbers with only one distinct digit. Zbl 1349.11023
Faye, Bernadette;Luca, Florian | | 2015 |
Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008
Bugeaud, Yann;Luca, Florian;Mignotte, Maurice;Siksek, Samir | | 2008 |
On the Diophantine equation \(F_n + F_m=2^a\). Zbl 1419.11024
Bravo, Jhon J.;Luca, Florian | | 2016 |
Repdigits as sums of three Fibonacci numbers. Zbl 1305.11008
Luca, Florian | | 2012 |
On the equation \(x^2 + 2^a \cdot 3^b = y^n\). Zbl 1085.11021
Luca, Florian | | 2002 |
17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002
Křížek, Michal;Luca, Florian;Somer, Lawrence | | 2001 |
Fibonacci numbers which are sums of two repdigits. Zbl 1287.11021
Díaz Alvarado, Saúl;Luca, Florian | | 2011 |
A generalization of a classical zero-sum problem. Zbl 1123.11012
Luca, Florian | | 2007 |
Coincidences in generalized Fibonacci sequences. Zbl 1272.11028
Bravo, Jhon J.;Luca, Florian | | 2013 |
On a problem of Pillai with Fibonacci numbers and powers of 2. Zbl 1421.11017
Ddamulira, Mahadi;Luca, Florian;Rakotomalala, Mihaja | | 2017 |
An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers. Zbl 1253.11046
Luca, Florian;Oyono, Roger | | 2011 |
Fibonacci numbers which are concatenations of two repdigits. Zbl 1472.11067
Alahmadi, Adel;Altassan, Alaa;Luca, Florian;Shoaib, Hatoon | | 2021 |
On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034
Bravo, Jhon J.;Luca, Florian | | 2013 |
Generalized balancing numbers. Zbl 1239.11035
Liptai, Kálmán;Luca, Florian;Pintér, Ákos;Szalay, László | | 2009 |
On the \(x\)-coordinates of Pell equations which are Fibonacci numbers. Zbl 1416.11027
Luca, Florian;Togbé, Alain | | 2018 |
Values of the Euler \(\varphi\)-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Zbl 1294.11164
Ford, Kevin;Luca, Florian;Moree, Pieter | | 2014 |
On the \(x\)-coordinates of Pell equations which are rep-digits. Zbl 1389.11076
Dossavi-Yovo, Appolinaire;Luca, Florian;Togbé, Alain | | 2016 |
Powers of two as sums of two Lucas numbers. Zbl 1358.11026
Bravo, Jhon J.;Luca, Florian | | 2014 |
On Pillai’s problem with tribonacci numbers and powers of 2. Zbl 1379.11013
Bravo, Jhon J.;Luca, Florian;Yazán, Karina | | 2017 |
On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041
Luca, Florian;Togbé, Alain | | 2008 |
Distinct digits in base \(b\) expansions of linear recurrence sequences. Zbl 1030.11004
Luca, Florian | | 2000 |
On perfect powers that are sums of two Fibonacci numbers. Zbl 1467.11038
Luca, Florian;Patel, Vandita | | 2018 |
On a generalization of the Pell sequence. Zbl 1499.11049
Bravo, Jhon J.;Herrera, Jose L.;Luca, Florian | | 2021 |
Fibonacci numbers of the form \(p^a\pm p^b+1\). Zbl 1228.11021
Luca, Florian;Szalay, László | | 2007 |
On numbers \(n\) dividing the \(n\)th term of a linear recurrence. Zbl 1262.11015
Alba González, Juan José;Luca, Florian;Pomerance, Carl;Shparlinski, Igor E. | | 2012 |
On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082
Faye, Bernadette;Luca, Florian | | 2018 |
On a Diophantine equation. Zbl 0997.11027
Luca, Florian | | 2000 |
Functional graphs of polynomials over finite fields. Zbl 1327.05323
Konyagin, Sergei V.;Luca, Florian;Mans, Bernard;Mathieson, Luke;Sha, Min;Shparlinski, Igor E. | | 2016 |
Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers. Zbl 1289.11021
Komatsu, Takao;Luca, Florian | | 2013 |
Repdigits as sums of three Pell numbers. Zbl 1413.11008
Normenyo, Benedict Vasco;Luca, Florian;Togbé, Alain | | 2018 |
On some problems of Mąkowski-Schinzel and Erdős concerning the arithmetical functions \(\varphi\) and \(\sigma\). Zbl 1027.11007
Luca, Florian;Pomerance, Carl | | 2002 |
Character sums and congruences with \(n!\). Zbl 1060.11046
Garaev, Moubariz Z.;Luca, Florian;Shparlinski, Igor E. | | 2004 |
The Diophantine equation \(P(x)=n!\) and a result of M. Overholt. Zbl 1085.11023
Luca, Florian | | 2002 |
Repdigits as sums of four Pell numbers. Zbl 1455.11019
Luca, Florian;Normenyo, Benedict Vasco;Togbé, Alain | | 2019 |
Concatenations with binary recurrent sequences. Zbl 1068.11007
Banks, William D.;Luca, Florian | | 2005 |
An exponential Diophantine equation related to the sum of powers of two consecutive \(k\)-generalized Fibonacci numbers. Zbl 1338.11016
Gómez Ruiz, Carlos Alexis;Luca, Florian | | 2014 |
On the \(X\)-coordinates of Pell equations which are Tribonacci numbers. Zbl 1410.11007
Luca, Florian;Montejano, Amanda;Szalay, Laszlo;Togbé, Alain | | 2017 |
Recurrence relations for polynomials obtained by arithmetic functions. Zbl 1435.11055
Heim, Bernhard;Luca, Florian;Neuhauser, Markus | | 2019 |
Quotients of Fibonacci numbers. Zbl 1391.11027
Garcia, Stephan Ramon;Luca, Florian | | 2016 |
Pell and Pell-Lucas numbers as sums of two repdigits. Zbl 1452.11020
Adegbindin, Chèfiath;Luca, Florian;Togbé, Alain | | 2020 |
Repdigits in \(k\)-Lucas sequences. Zbl 1382.11019
Bravo, Jhon J.;Luca, Florian | | 2014 |
On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2. Zbl 1437.11051
Ddamulira, Mahadi;Gómez, Carlos A.;Luca, Florian | | 2018 |
On the exponential Diophantine equation \(P_n^x+P_{n+1}^x=P_m\). Zbl 1455.11056
Rihane, Salah Eddine;Faye, Bernadette;Luca, Florian;Togbé, Alain | | 2019 |
Every positive integer is a sum of three palindromes. Zbl 1441.11016
Cilleruelo, Javier;Luca, Florian;Baxter, Lewis | | 2018 |
\(p\)-adic quotient sets. Zbl 1428.11023
Garcia, Stephan Ramon;Hong, Yu Xuan;Luca, Florian;Pinsker, Elena;Sanna, Carlo;Schechter, Evan;Starr, Adam | | 2017 |
On cyclotomic factors of polynomials related to modular forms. Zbl 1450.11041
Heim, Bernhard;Luca, Florian;Neuhauser, Markus | | 2019 |
On the Diophantine equation \(x^2 + 5^a 13^b = y^n\). Zbl 1186.11016
Abu Muriefah, Fadwa S.;Luca, Florian;Togbé, Alain | | 2008 |
On the lower bound of the linear complexity over \(\mathbb F_p\) of Sidelnikov sequences. Zbl 1296.94073
Garaev, Moubariz Z.;Luca, Florian;Shparlinski, Igor;Winterhof, Arne | | 2006 |
Fibonacci numbers which are products of two Pell numbers. Zbl 1400.11040
Ddamulira, Mahadi;Luca, Florian;Rakotomalala, Mihaja | | 2016 |
Rational products of singular moduli. Zbl 1400.11113
Bilu, Yuri;Luca, Florian;Pizarro-Madariaga, Amalia | | 2016 |
Almost powers in the Lucas sequence. Zbl 1204.11030
Bugeaud, Yann;Luca, Florian;Mignotte, Maurice;Siksek, Samir | | 2008 |
The distribution of self-Fibonacci divisors. Zbl 1390.11119
Luca, Florian;Tron, Emanuele | | 2015 |
On the Diophantine equation \(x^2 + 2^{\alpha}5^{\beta}13^{\gamma} = y^n\). Zbl 1232.11130
Goins, Edray;Luca, Florian;Togbé, Alain | | 2008 |
On factorials which are products of factorials. Zbl 1132.11017
Luca, Florian | | 2007 |
Common values of generalized Fibonacci and Pell sequences. Zbl 1471.11049
Bravo, Jhon J.;Herrera, Jose L.;Luca, Florian | | 2021 |
On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037
Abu Muriefah, Fadwa S.;Luca, Florian;Siksek, Samir;Tengely, Szabolcs | | 2009 |
On Pillai’s problem with the Fibonacci and Pell sequences. Zbl 1440.11018
Hernández Hernández, Santos;Luca, Florian;Rivera, Luis Manuel | | 2019 |
On shifted primes with large prime factors and their products. Zbl 1370.11110
Luca, Florian;Menares, Ricardo;Pizarro-Madariaga, Amalia | | 2015 |
Some remarks on Heron triangles. Zbl 1062.11019
Kramer, Alpar-Vajk;Luca, Florian | | 2000 |
Multiplicative independence in \(k\)-generalized Fibonacci sequences. Zbl 1355.11010
Gómez Ruiz, Carlos Alexis;Luca, Florian | | 2016 |
Divisibility of class numbers: enumerative approach. Zbl 1072.11084
Bilu, Yuri F.;Luca, Florian | | 2005 |
Irreducible radical extensions and Euler-function chains. Zbl 1172.11029
Luca, Florian;Pomerance, Carl | | 2007 |
On Pillai’s Diophantine equation. Zbl 1136.11026
Bugeaud, Yann;Luca, Florian | | 2006 |
Diophantine equations with products of consecutive terms in Lucas sequences. Zbl 1081.11023
Luca, F.;Shorey, T. N. | | 2005 |
On the exponential local-global principle. Zbl 1330.11019
Bartolome, Boris;Bilu, Yuri;Luca, Florian | | 2013 |
Powers of two as sums of three Pell numbers. Zbl 1433.11032
Bravo, Jhon J.;Faye, Bernadette;Luca, Florian | | 2017 |
On stable quadratic polynomials. Zbl 1241.11027
Ahmadi, Omran;Luca, Florian;Ostafe, Alina;Shparlinski, Igor E. | | 2012 |
On Pillai’s problem with Pell numbers and powers of 2. Zbl 1448.11042
Ouamar Hernane, Mohand;Luca, Florian;Rihane, Salah;Togbé, Alain | | 2018 |
On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. Zbl 1447.11025
Ddamulira, Mahadi;Luca, Florian | | 2020 |
Lucas numbers as sums of two repdigits. Zbl 1427.11013
Adegbindin, Chèfiath;Luca, Florian;Togbé, Alain | | 2019 |
Sums of factorials in binary recurrence sequences. Zbl 0995.11008
Grossman, George;Luca, Florian | | 2002 |
On the largest prime factor of \((ab+1)(ac+1)(bc+1)\). Zbl 1108.11030
Hernández, Santos;Luca, Florian | | 2003 |
Fibonacci numbers of the form \(k^2+k+2\). Zbl 0979.11012
Luca, Florian | | 1999 |
Markov equation with Fibonacci components. Zbl 1458.11056
Luca, Florian;Srinivasan, Anitha | | 2018 |
On the number of factorizations of an integer. Zbl 1245.11100
Balasubramanian, Ramachandran;Luca, Florian | | 2011 |
Members of Lucas sequences whose Euler function is a power of 2. Zbl 1351.11015
Taoufiq Damir, Mohamed;Faye, Bernadette;Luca, Florian;Tall, Amadou | | 2014 |
On the maximal order of numbers in the “factorisatio numerorum” problem. Zbl 1169.11043
Klazar, Martin;Luca, Florian | | 2007 |
On the Diophantine equation \(x^2 + 2^a \cdot 11^b = y^n\). Zbl 1219.11056
Cangül, Ismail Naci;Demirci, Musa;Luca, Florian;Pintér, Ákos;Soydan, Gökhan | | 2010 |
On the largest prime factor of \(x^2-1\). Zbl 1221.11080
Luca, Florian;Najman, Filip | | 2011 |
On the counting function of irregular primes. Zbl 1356.11067
Luca, Florian;Pizarro-Madariaga, Amalia;Pomerance, Carl | | 2015 |
Some additive combinatorics problems in matrix rings. Zbl 1208.11037
Ferguson, Ron;Hoffman, Corneliu;Luca, Florian;Ostafe, Alina;Shparlinski, Igor E. | | 2010 |
On the Diophantine equation \(x^2 + 2^{\alpha} 13^{\beta} = y^n\). Zbl 1221.11090
Luca, Florian;Togbé, Alain | | 2009 |
Common values of the arithmetic functions \(\varphi\) and \(\sigma\). Zbl 1205.11010
Ford, Kevin;Luca, Florian;Pomerance, Carl | | 2010 |
A Diophantine equation in \(k\)-Fibonacci numbers and repdigits. Zbl 1407.11026
Bravo, Jhon J.;Gómez, Carlos A.;Luca, Florian | | 2018 |
\(X\)-coordinates of Pell equations as sums of two tribonacci numbers. Zbl 1424.11036
Bravo, Eric F.;Gómez Ruiz, Carlos Alexis;Luca, Florian | | 2018 |
Repdigits as sums of four Fibonacci or Lucas numbers. Zbl 1453.11006
Normenyo, Benedict Vasco;Luca, Florian;Togbé, Alain | | 2018 |
On the \(x\)-coordinates of Pell equations which are Fibonacci numbers. II. Zbl 1420.11037
Kafle, Bir;Luca, Florian;Togbé, Alain | | 2017 |
On the problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of \(3\). Zbl 1446.11025
Ddamulira, Mahadi;Luca, Florian | | 2020 |
An explicit bound for the number of partitions into roots. Zbl 1343.05031
Luca, Florian;Ralaivaosaona, Dimbinaina | | 2016 |
Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011
Bugeaud, Yann;Luca, Florian;Mignotte, Maurice;Siksek, Samir | | 2007 |
On a diophantine equation related to a conjecture of Erdös and Graham. Zbl 1132.11319
Luca, F.;Walsh, P. G. | | 2007 |
Squares in Lehmer sequences and some Diophantine applications. Zbl 1006.11011
Luca, Florian;Walsh, P. G. | | 2001 |
Some results on Oppenheim’s “factorisatio numerorum” function. Zbl 1213.11020
Luca, Florian;Mukhopadhyay, Anirban;Srinivas, Kotyada | | 2010 |
On the \(p\)-adic zeros of the Tribonacci sequence. Zbl 1536.11029
Bilu, Yuri;Luca, Florian;Nieuwveld, Joris;Ouaknine, Joël;Worrell, James | | 2024 |
The complete solution of the Diophantine equation \(\left(F_{n+1}^{(k)}\right)^x - \left(F_{n-1}^{(k)}\right)^x = F_m^{(k)}\). Zbl 1534.11022
Gómez, Carlos A.;Gómez, Jhonny C.;Luca, Florian | | 2024 |
Padovan squares which are again Padovan. Zbl 07857963
Bravo, Eric Fernando;Luca, Florian | | 2024 |
Linear combinations of factorial and \(S\)-unit in a ternary recurrence sequence with a double root. Zbl 1538.11060
Luca, Florian;Noubissie, Armand | | 2023 |
On the arguments of the roots of the generalized Fibonacci polynomial. Zbl 1532.11038
Alahmadi, Adel;Klurman, Oleksiy;Luca, Florian;Shoaib, Hatoon | | 2023 |
On Tribonacci numbers that are products of factorials. Zbl 1512.11019
Alahmadi, Adel;Luca, Florian | | 2023 |
Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials. Zbl 1533.11032
Bérczes, Attila;Hajdu, Lajos;Luca, Florian;Pink, István | | 2023 |
Generalized Lucas graphs. Zbl 1524.05037
Hashim, Hayder R.;Luca, Florian;Shelash, Hayder B.;Shukur, Ali A. | | 2023 |
Terms of Lucas sequences having a large smooth divisor. Zbl 1527.11009
Balaji, Nikhil;Luca, Florian | | 2023 |
On the solutions of the Diophantine equation \(P_n \pm \frac{a(10^m -1)}{9}=k!\). Zbl 1530.11020
Adédji, Kouèssi Norbert;Luca, Florian;Togbé, Alain | | 2023 |
On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\). Zbl 1498.11106
Adédji, Kouèssi Norbert;Luca, Florian;Togbé, Alain | | 2022 |
On the Skolem problem and the Skolem conjecture. Zbl 07954820
Lipton, Richard;Luca, Florian;Nieuwveld, Joris;Ouaknine, Joël;Purser, David;Worrell, James | | 2022 |
On the multiplicity in Pillai’s problem with Fibonacci numbers and powers of a fixed prime. Zbl 1523.11026
Batte, Herbert;Ddamulira, Mahadi;Kasozi, Juma;Luca, Florian | | 2022 |
Skolem meets schanuel. Zbl 07893058
Bilu, Yuri;Luca, Florian;Nieuwveld, Joris;Ouaknine, Joël;Purser, David;Worrell, James | | 2022 |
Complete solution of the exponential Diophantine equation \(P_n^x +P_{n+1}^x =P_m^y\). Zbl 1510.11093
Faye, Bernadette;Gómez, Carlos A.;Luca, Florian;Rihane, Salah E.;Togbé, Alain | | 2022 |
Fibonacci and Lucas numbers as difference of two repdigits. Zbl 1497.11037
Erduvan, Fatih;Keskin, Refik;Luca, Florian | | 2022 |
On repunit Cullen numbers. Zbl 1498.11101
Alahmadi, Adel;Luca, Florian | | 2022 |
On a Diophantine equation involving Fibonacci numbers and the Ramanujan \(\tau\)-function of factorials. Zbl 1499.11069
Luca, Florian;Mabaso, Sibusiso | | 2022 |
Algebraic model checking for discrete linear dynamical systems. Zbl 07643425
Luca, Florian;Ouaknine, Joël;Worrell, James | | 2022 |
Markov triples with two Fibonacci components. Zbl 1530.11024
Luca, Florian | | 2022 |
An inequality for Fibonacci numbers. Zbl 1549.11026
Alzer, Horst;Luca, Florian | | 2022 |
On a nonintegrality conjecture. Zbl 1494.11078
Luca, Florian;Pomerance, Carl | | 2022 |
On the Euler function of \(Y\)-coordinates of Pell equations and repdigits. Zbl 1485.11073
Alahmadi, Adel;Luca, Florian | | 2022 |
Fibonacci numbers as sums of two Padovan numbers. Zbl 1499.11064
García Lomelí, Ana Cecilia;Hernández Hernández, Santos;Luca, Florian | | 2022 |
On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences. Zbl 1485.11026
Ddamulira, Mahadi;Luca, Florian;Tichy, Robert | | 2022 |
There are no Carmichael numbers of the form \(2^np+1\) with \(p\) prime. Zbl 1504.11013
Alahmadi, Adel;Luca, Florian | | 2022 |
Powers of rational matrices. Zbl 1483.15026
Garcia, Stephan Ramon;Horn, Roger A.;Luca, Florian;Sarma, Kuldeep | | 2022 |
On the Diophantine equation \((5pn^2- 1)^x + (p(p- 5)n^2 + 1)^y = (pn)^z\). Zbl 1538.11104
Alahmadi, Adel;Luca, Florian | | 2022 |
On \(Y\)-coordinates of Pell equations which are Lucas numbers. Zbl 1506.11043
Edjeou, Bilizimbéyé;Faye, Bernadette;Gómez, Carlos A.;Luca, Florian | | 2022 |
On the sum of the reciprocals of \(k\)-generalized Fibonacci numbers. Zbl 1524.11029
Alahmadi, Adel;Luca, Florian | | 2022 |
On the multiplicities of Padovan-type sequences. Zbl 1502.11023
Bravo, Eric F.;Bravo, Jhon J.;Luca, Florian | | 2022 |
Trinomials, singular moduli and Riffaut’s conjecture. Zbl 1527.11049
Bilu, Yuri;Luca, Florian;Pizarro-Madariaga, Amalia | | 2022 |
Fibonacci numbers which are concatenations of two repdigits. Zbl 1472.11067
Alahmadi, Adel;Altassan, Alaa;Luca, Florian;Shoaib, Hatoon | | 2021 |
On a generalization of the Pell sequence. Zbl 1499.11049
Bravo, Jhon J.;Herrera, Jose L.;Luca, Florian | | 2021 |
Common values of generalized Fibonacci and Pell sequences. Zbl 1471.11049
Bravo, Jhon J.;Herrera, Jose L.;Luca, Florian | | 2021 |
\(k\)-generalized Fibonacci numbers which are concatenations of two repdigits. Zbl 1515.11013
Alahmadi, Adel;Altassan, Alaa;Luca, Florian;Shoaib, Hatoon | | 2021 |
On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\). Zbl 1486.11018
Kebli, Salima;Kihel, Omar;Larone, Jesse;Luca, Florian | | 2021 |
Binary polynomial power sums vanishing at roots of unity. Zbl 1475.11042
Bilu, Yuri;Luca, Florian | | 2021 |
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. Zbl 1481.11020
Ddamulira, Mahadi;Luca, Florian | | 2021 |
On the distribution of the roots of polynomial \(z^k-z^{k-1}-\dots -z-1\). Zbl 1549.12006
Gómez, Carlos A.;Luca, Florian | | 2021 |
On positivity and minimality for second-order holonomic sequences. Zbl 07724240
Kenison, George;Klurman, Oleksiy;Lefaucheux, Engel;Luca, Florian;Moree, Pieter;Ouaknine, Joël;Whiteland, Markus A.;Worrell, James | | 2021 |
On Pillai’s problem with \(X\)-coordinates of Pell equations and powers of 2. II. Zbl 1493.11074
Erazo, Harold S.;Gómez, Carlos A.;Luca, Florian | | 2021 |
Markov type equations with solutions in Lucas sequences. Zbl 1472.11068
Altassan, Alaa;Luca, Florian | | 2021 |
On Egyptian fractions of length 3. Zbl 1482.11057
Banderier, Cyril;Gómez Ruiz, Carlos Alexis;Luca, Florian;Pappalardi, Francesco;Treviño, Enrique | | 2021 |
A note on the Diophantine equation \(x^2-kxy+ky^2+ly=0\). Zbl 1549.11076
Alkabouss, Sakha A.;Benseba, Boualem;Berbara, Nacira;Earp-Lynch, Simon;Luca, Florian | | 2021 |
Skolem’s conjecture confirmed for a family of exponential equations. III. Zbl 1484.11100
Hajdu, L.;Luca, F.;Tijdeman, R. | | 2021 |
Product of repdigits with consecutive lengths in the Fibonacci sequence. Zbl 1471.11067
Gómez, Jhonny C.;Luca, Florian | | 2021 |
The orbit problem for parametric linear dynamical systems. Zbl 07730630
Baier, Christel;Funke, Florian;Jantsch, Simon;Karimov, Toghrul;Lefaucheux, Engel;Luca, Florian;Ouaknine, Joël;Purser, David;Whiteland, Markus A.;Worrell, James | | 2021 |
Pell and Pell-Lucas numbers as sums of two repdigits. Zbl 1452.11020
Adegbindin, Chèfiath;Luca, Florian;Togbé, Alain | | 2020 |
On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. Zbl 1447.11025
Ddamulira, Mahadi;Luca, Florian | | 2020 |
On the problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of \(3\). Zbl 1446.11025
Ddamulira, Mahadi;Luca, Florian | | 2020 |
Zeckendorf representations with at most two terms to \(x\)-coordinates of Pell equations. Zbl 1455.11031
Gómez, Carlos A.;Luca, Florian | | 2020 |
On certain sums concerning the gcd’s and lcm’s of \(k\) positive integers. Zbl 1452.11007
Hilberdink, Titus;Luca, Florian;Tóth, László | | 2020 |
On \(Y\)-coordinates of Pell equations which are base 2 rep-digits. Zbl 1478.11016
Faye-Fall, Bernadette;Luca, Florian | | 2020 |
On members of Lucas sequences which are products of factorials. Zbl 1478.11018
Laishram, Shanta;Luca, Florian;Sias, Mark | | 2020 |
Products of \(k\)-Fibonacci numbers which are rep-digits. Zbl 1463.11032
Alahmadi, Adel;Altassan, Alaa;Luca, Florian;Shoaib, Hatoon | | 2020 |
On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence. Zbl 1477.11060
Faye, Bernadette;Luca, Florian | | 2020 |
On a Diophantine equation involving powers of Fibonacci numbers. Zbl 1478.11017
Gueth, Krisztián;Luca, Florian;Szalay, László | | 2020 |
On a conjecture concerning the multiplicity of the Tribonacci sequence. Zbl 1459.11036
Bravo, Eric F.;Gómez, Carlos A.;Kafle, Bir;Luca, Florian;Togbé, Alain | | 2020 |
Total multiplicity of the Tribonacci sequence. Zbl 1459.11037
Bravo, Eric F.;Gómez, Carlos A.;Luca, Florian | | 2020 |
Correction to: \(X\)-coordinates of Pell equations as sums of two tribonacci numbers. Zbl 1449.11051
Bravo, Eric F.;Gómez Ruiz, Carlos Alexis;Luca, Florian | | 2020 |
On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\). Zbl 1471.11043
Altassan, Alaa;Luca, Florian | | 2020 |
Multiplicative dependence between \(k\)-Fibonacci and \(k\)-Lucas numbers. Zbl 1474.11047
Gómez, Carlos A.;Gómez, Jhonny C.;Luca, Florian | | 2020 |
On the zero-multiplicity of the \(k\)-generalized Fibonacci sequence. Zbl 1464.11024
García, Jonathan;Gómez, Carlos A.;Luca, Florian | | 2020 |
Powers of two in generalized Lucas sequences. Zbl 1468.11060
Rihane, Salah Eddine;Faye, Bernadette;Luca, Florian;Togbé, Alain | | 2020 |
Trinomials with given roots. Zbl 1479.11052
Bilu, Yuri;Luca, Florian | | 2020 |
On the exponential Diophantine equation \(P_n^x+P_{n+1}^x+\cdots +P_{n+k-1}^x=P_m\). Zbl 1472.11105
Luca, Florian;Tchammou, Euloge;Togbé, Alain | | 2020 |
Linear combinations of prime powers in \(X\)-coordinates of Pell equations. Zbl 1485.11027
Erazo, Harold;Gómez, Carlos A.;Luca, Florian | | 2020 |
On \(X\)-coordinates of Pell equations which are repdigits. Zbl 1470.11026
Gómez, Carlos A.;Luca, Florian;Zottor, Faith Shadow | | 2020 |
Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function. Zbl 1450.11002
Garcia, Stephan Ramon;Luca, Florian;Shi, Kye;Udell, Gabe | | 2020 |
The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. Zbl 1471.11065
Ddamulira, Mahadi;Luca, Florian | | 2020 |
Lucas factoriangular numbers. Zbl 1499.11016
Kafle, Bir;Luca, Florian;Togbé, Alain | | 2020 |
Binary recurrences for which powers of two are discriminating moduli. Zbl 1471.11086
de Clercq, Adriaan A.;Luca, Florian;Martirosyan, Lilit;Matthis, Maria;Moree, Pieter;Stoumen, Max A.;Weiß, Melvin | | 2020 |
Composite positive integers whose sum of prime factors is prime. Zbl 1513.11160
Luca, Florian;Moodley, Damon | | 2020 |
Elliptic curves over finite fields with Fibonacci numbers of points. Zbl 1456.11116
Bilu, Yuri;Gómez, Carlos A.;Gómez, Jhonny C.;Luca, Florian | | 2020 |
Ratios of sums of two Fibonacci numbers equal to powers of 2. Zbl 1471.11047
Bravo, Jhon J.;Díaz, Maribel;Luca, Florian | | 2020 |
Perfect squares representing the number of rational points on elliptic curves over finite field extensions. Zbl 1455.11053
Chim, Kwok Chi;Luca, Florian | | 2020 |
On the equation \((2^k-1)(3^l-1)=5^m-1\). Zbl 1472.11106
Luca, F.;Szalay, L. | | 2020 |
On the prime factors of the iterates of the Ramanujan \(\tau\)-function. Zbl 1472.11036
Luca, Florian;Mabaso, Sibusiso;Stănică, Pantelimon | | 2020 |
Repdigits as sums of four Pell numbers. Zbl 1455.11019
Luca, Florian;Normenyo, Benedict Vasco;Togbé, Alain | | 2019 |
Recurrence relations for polynomials obtained by arithmetic functions. Zbl 1435.11055
Heim, Bernhard;Luca, Florian;Neuhauser, Markus | | 2019 |
On the exponential Diophantine equation \(P_n^x+P_{n+1}^x=P_m\). Zbl 1455.11056
Rihane, Salah Eddine;Faye, Bernadette;Luca, Florian;Togbé, Alain | | 2019 |
On cyclotomic factors of polynomials related to modular forms. Zbl 1450.11041
Heim, Bernhard;Luca, Florian;Neuhauser, Markus | | 2019 |
On Pillai’s problem with the Fibonacci and Pell sequences. Zbl 1440.11018
Hernández Hernández, Santos;Luca, Florian;Rivera, Luis Manuel | | 2019 |
Lucas numbers as sums of two repdigits. Zbl 1427.11013
Adegbindin, Chèfiath;Luca, Florian;Togbé, Alain | | 2019 |
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers. Zbl 1449.11036
Rihane, Salah Eddine;Faye, Bernadette;Luca, Florian;Togbé, Alain | | 2019 |
On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers. Zbl 1420.11061
Kafle, Bir;Luca, Florian;Montejano, Amanda;Szalay, László;Togbé, Alain | | 2019 |
On the zero-multiplicity of a fifth-order linear recurrence. Zbl 1450.11009
Gómez Ruiz, Carlos Alexis;Luca, Florian | | 2019 |
\(X\)-coordinates of Pell equations which are Lucas numbers. Zbl 1496.11051
Kafle, Bir;Luca, Florian;Togbé, Alain | | 2019 |
Repdigits as sums of three Lucas numbers. Zbl 1459.11041
Luca, Florian;Normenyo, Benedict Vasco;Togbé, Alain | | 2019 |
On Pillai’s problem with \(X\)-coordinates of Pell equations and powers of 2. Zbl 1465.11086
Erazo, Harold S.;Gómez, Carlos A.;Luca, Florian | | 2019 |
Algebraic results for the values \(\vartheta_3(m\tau)\) and \(\vartheta_3(n\tau)\) of the Jacobi theta-constant. Zbl 1456.11131
Elsner, Carsten;Luca, Florian;Tachiya, Yohei | | 2019 |
Primitive root bias for twin primes. Zbl 1450.11001
Garcia, Stephan Ramon;Kahoro, Elvis;Luca, Florian | | 2019 |
On the typical size and cancellations among the coefficients of some modular forms. Zbl 1450.11100
Luca, Florian;Radziwiłł, Maksym;Shparlinski, Igor E. | | 2019 |
Product of consecutive tribonacci numbers with only one distinct digit. Zbl 1455.11027
Bravo, Eric F.;Gómez, Carlos A.;Luca, Florian | | 2019 |
On ternary Egyptian fractions with prime denominator. Zbl 1455.11057
Luca, Florian;Pappalardi, Francesco | | 2019 |
\(x\)-Coordinates of Pell equations which are Tribonacci numbers. II. Zbl 1449.11030
Kafle, Bir;Luca, Florian;Togbé, Alain | | 2019 |
Linear independence of powers of singular moduli of degree three. Zbl 1451.11069
Luca, Florian;Riffaut, Antonin | | 2019 |
Pillai’s problem with the Fibonacci and Padovan sequences. Zbl 1449.11029
Garcia Lomelia, Ana Cecilia;Hernández Hernández, Santos;Luca, Florian | | 2019 |
Pell factoriangular numbers. Zbl 1474.11092
Luca, Florian;Odjoumani, Japhet;Togbé, Alain | | 2019 |
| ...and 489 more Documents |
