InstitucionesIdentificadores de autorPeriodo de publicación recogido
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On Y-coordinates of Pell equations which are Fibonacci numbers
Florian Luca, Faith S. Zottor
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 29, Nº. 2, 2023
Trinomials, singular moduli and Riffaut's conjecture
Yuri Bilu, Florian Luca, AMALIA PIZARRO-MALARIAGA
Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 23, Nº 4, 2022, págs. 2003-2048
Product of repdigits with consecutive lengths in the Fibonacci sequence
Jhonny C. Gómez, Florian Luca
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 27, Nº. 2, 2021
X-coordinates of Pell equations which are Lucas numbers
Bir Kafle, Florian Luca, Alain Togbé
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 25, Nº. 3, 2019, págs. 481-493
On Pillai’s problem with the Fibonacci and Pell sequences
Santos Hernández Hernández, Florian Luca, Luis Manuel Rivera
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 25, Nº. 3, 2019, págs. 495-507
Repdigits as sums of four Pell numbers
Florian Luca, Benedict Vasco Normenyo, Alain Togbé
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 25, Nº. 2, 2019, págs. 249-266
Consecutive Integers with Close Kernels
Jean-Marie De Koninck, Florian Luca
Canadian mathematical bulletin, ISSN 0008-4395, Vol. 62, Nº 3, 2019, págs. 469-473
A variation on the theme of Nicomachus
Florian Luca, Wadim Zudilin, Geremías Polanco
Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 97, Nº. 3, 2018, págs. 367-373
Select monotonic phinomial coefficients monotonic phinomial coefficients
Florian Luca, Pantelimon Stanica
Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 95, Nº. 3, 2017, págs. 365-372
On polynomials whose roots have rational quotient of differences
Florian Luca
Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 96, Nº. 2, 2017, págs. 185-190
Palíndromos en varias sucesiones
Florian Luca
Gaceta de la Real Sociedad Matematica Española, ISSN 1138-8927, Vol. 20, Nº 1, 2017, págs. 49-56
Functional graphs of polynomials over finite fields
Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski
Journal of combinatorial theory. Series B, ISSN 0095-8956, Nº. 116, 2016, págs. 87-122
L-polynomials of function fields and Fibonacci Numbers
E. León-Cardenal, Florian Luca
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 21, Nº. 2, 2015, págs. 163-169
Arithmetic properties of the sum of the first n values of the Euler function
R. Balasubramanian, Florian Luca, Dimbinaina Ralaivaosaona
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 21, Nº. 1, 2015, págs. 9-17
Sierpiński and Carmichael numbers
William D. Banks, Carrie E. Finch, Florian Luca, Carl Pomerance, Pantelimon Stanica
Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 367, Nº 1, 2015, págs. 355-376
Erratum to On the length of arithmetic progressions in linear combinations of S-units
Lajos Hajdu, Florian Luca
Archiv der Mathematik, ISSN 0003-889X, Vol. 103, Nº. 4, 2014, págs. 399-400
On the Counting Function of Elliptic Carmichael Numbers
Florian Luca, Igor E. Shparlinski
Canadian mathematical bulletin, ISSN 0008-4395, Vol. 57, Nº 1, 2014, págs. 105-112
The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence
Carlos Alexis Gómez Ruiz, Florian Luca
Indagationes mathematicae, ISSN 0019-3577, Vol. 25, Nº 3, 2014, págs. 579-587
Linear independence of certain Lambert series
Florian Luca, Yohei Tachiya
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 142, Nº 10, 2014, págs. 3411-3419
Florian Luca
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 19, Nº. 1, 2013, págs. 53-63
\$L\$-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES
Florian Luca, Roger Oyono, Aynur Yalciner
Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 88, Nº. 3, 2013, págs. 509-519
On the fractional parts of a elevado a n/n
Javier Cilleruelo, Angel Kumchev, Florian Luca, Juanjo Rué Perna, Igor E. Shparlinski
Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 45, Nº 2, 2013, págs. 249-256
On the Sum of Digits of Numerators of Bernoulli Numbers
Attila Bérczes, Florian Luca
Canadian mathematical bulletin, ISSN 0008-4395, Vol. 56, Nº 4, 2013, págs. 723-728
On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers
Jhon J. Bravo, Takao Komatsu, Florian Luca
Indagationes mathematicae, ISSN 0019-3577, Vol. 24, Nº 1, 2013, págs. 181-198
Jhon J. Bravo, Sergio Guzmán, Florian Luca
Lithuanian mathematical journal, ISSN 0363-1672, Vol. 53, Nº. 2, 2013, págs. 143-148
On the degree of compositum of two number fields
Paulius Drungilas, Arturas Dubickas, Florian Luca
Mathematische Nachrichten, ISSN 0025-584X, Vol. 286, Nº. 2-3, 2013, págs. 171-180
Corrigendum to �Cullen numbers with the Lehmer property�
José María Grau Ribas, Florian Luca
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 141, Nº 8, 2013, págs. 2941-2943
Control of coupled parabolic systems and Diophantine approximations
Florian Luca, María de la Luz Jimena de Teresa de Oteyza
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 61, Nº. 1, 2013, págs. 1-17
On the number of antipodal bicolored necklaces
Florian Luca, Ricardo Strausz
Aequationes mathematicae, ISSN 0001-9054, Vol. 83, Nº. 1-2, 2012, págs. 67-73
On the number of nonzero digits of the partition function
Florian Luca
Archiv der Mathematik, ISSN 0003-889X, Vol. 98, Nº. 3, 2012, págs. 235-240
SOME REMARKS ON THE RIEMANN ZETA FUNCTION AND PRIME FACTORS OF NUMERATORS OF BERNOULLI NUMBERS
Florian Luca, AMALIA PIZARRO-MALARIAGA
Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 86, Nº. 2, 2012, págs. 216-223
On the largest prime factor of numerators of Bernoulli numbers
Attila Bérczes, Florian Luca
Indagationes mathematicae, ISSN 0019-3577, Vol. 23, Nº 1-2, 2012, págs. 128-134
Pseudoprime Reductions of Elliptic Curves: Corrigendum
Alina Carmen Cojocaru, Florian Luca, Igor E. Shparlinski
Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 152, Nº 3, 2012, pág. 571
On the sum of two divisors of (n2 + 1)/2
Andrej Dujella, Florian Luca
Periodica mathematica hungarica, ISSN 0031-5303, Vol. 65, Nº. 1, 2012, págs. 83-96
Cullen numbers with the Lehmer property
José María Grau Ribas, Florian Luca
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 140, Nº 1, 2012, págs. 129-134
Powers of Two in Generalized Fibonacci Sequences
Florian Luca, Jhon J. Bravo
Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 46, Nº. 1, 2012, págs. 67-79
On cyclic compositions of positive integers
Arnold Knopfmacher, Florian Luca, Neville Robbins
Aequationes mathematicae, ISSN 0001-9054, Vol. 82, Nº. 1-2, 2011, págs. 111-122
On composite integers n for which ?(n)|n-1
Florian Luca, Carl Pomerance
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 17, Nº. 1, 2011, págs. 13-21
Some Diophantine equations from finite group theory: \Phi_m(x) = 2 p^n - 1
Florian Luca, Pieter Moree, Benne de Weger
Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 377-392
On the Diophantine equation x4-q4 = pyr
Aurélien Bajolet, B. Dupuy, Florian Luca, Alain Togbé
Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 79, Fasc. 3-4, 2011, págs. 269-282
On the size of sets whose elements have perfect power n-shifted products
Attila Bérczes, Andrej Dujella, Lajos Hajdu, Florian Luca
Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 79, Fasc. 3-4, 2011, págs. 325-340
Counting dihedral and quaternionic extensions
Etienne Fouvry, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski
Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 363, Nº 6, 2011, págs. 3233-3253
On the length of arithmetic progressions in linear combinations of S-units
Lajos Hajdu, Florian Luca
Archiv der Mathematik, ISSN 0003-889X, Vol. 94, Nº. 4, 2010, págs. 357-363
Common values of the arithmetic functions and
Kevin Ford, Florian Luca, Carl Pomerance
Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 42, Nº 3, 2010, págs. 478-488
On squares in polynomial products
Javier Cilleruelo, Florian Luca, Adolfo Quirós Gracián, Igor E. Shparlinski
Monatshefte für mathematik, ISSN 0026-9255, Vol. 159, Nº 3, 2010, págs. 215-223
R. Balasubramanian, Florian Luca, Ravindranathan Thangadurai
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 7, 2010, págs. 2283-2288
Fibonacci numbers which are sums of three factorials
Mark Bollman, Santos Hernández Hernández, Florian Luca
Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 211-224
Some additive combinatorics problems in matrix rings
Ron Ferguson, Corneliu G. Hoffman, Florian Luca, Alina Ostafe, Igor E. Shparlinski
Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 23, Nº 2, 2010, págs. 501-513
Some remarks on Sierpinski numbers and related problems
Florian Luca, V. Janitzio Mejía Huguet
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 15, Nº. 1, 2009, págs. 11-21
Products of Fibonacci numbers with indices in an interval and at most four omitted being a power
Florian Luca, T. N. Shorey
Indagationes mathematicae, ISSN 0019-3577, Vol. 20, Nº 4, 2009, págs. 551-556
Kálmán Liptai, Florian Luca, Akos Pintér, László Szalay
Indagationes mathematicae, ISSN 0019-3577, Vol. 20, Nº 1, 2009, págs. 87-100
ON THE INDEX OF COMPOSITION OF THE EULER FUNCTION AND OF THE SUM OF DIVISORS FUNCTION
Jean-Marie De Koninck, Florian Luca
Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 86, Nº 2, 2009, págs. 155-168
The product of exponents in the factorization of consecutive integers
Jean-Marie De Koninck, Florian Luca
Mathematika: A journal of pure and applied mathematics, ISSN 0025-5793, Nº 109-110, 2009, págs. 59-66
On strings of consecutive integers with a distinct number of prime factors
Jean-Marie De Koninck, John B. Friedlander, Florian Luca
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 137, Nº 5, 2009, págs. 1585-1592
Perfect powers in solutions to Pell equations
Kalyan Chakraborty, Florian Luca
Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 43, Nº. 1, 2009, págs. 71-86
Diophantine triples with values in binary recurrences
Clemens Fuchs, Florian Luca, László Szalay
Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 7, Nº 4, 2008, págs. 579-608
On quadratic fields generated by polynomials
Florian Luca, Igor E. Shparlinski
Archiv der Mathematik, ISSN 0003-889X, Vol. 91, Nº. 5, 2008, págs. 399-408
On positive integers n such that Phi(1)+Phi(2)+... +Phi(n) is a square
Florian Luca, Ayyadurai Sankaranarayanan
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 14, Nº. 1, 2008, págs. 1-6
Arithmetic properties of Apéry numbers
Florian Luca, Igor E. Shparlinski
Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 3, 2008, págs. 545-562
Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields
Florian Luca, Igor E. Shparlinski
Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 3, 2007, págs. 409-417
Desde los números de Fermat hasta la geometría
Michal Krízek, Florian Luca, Lawrence Somer
Gaceta de la Real Sociedad Matematica Española, ISSN 1138-8927, Vol. 10, Nº 2, 2007, págs. 471-484
Sums of prime divisors and Mersenne numbers
William D. Banks, Florian Luca
Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 2, 2007, págs. 403-413
Exponential sums with Catalan numbers and middle binomial coefficients
Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski
Indagationes mathematicae, ISSN 0019-3577, Vol. 18, Nº 1, 2007, págs. 23-38
On the value set of the Carmichael lambda-function
John B. Friedlander, Florian Luca
Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 82, Nº 1, 2007, págs. 123-132
On factorials which are products of factorials
Florian Luca
Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 533-542
On the equation ?(?(n))=?(n)+k$
A. A. Glibichuk, Florian Luca, Francesco Pappalardi
Michigan mathematical journal, ISSN 0026-2285, Vol. 55, Nº 3, 2007, págs. 671-692
On the average number of divisors of the Euler function
Florian Luca, Carl Pomerance
Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 70, Fasc. 1-2, 2007, págs. 125-148
William D. Banks, Florian Luca, Igor E. Shparlinski
Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 20, Nº 1, 2007, págs. 109-118
Uniformity of distribution modulo 1 of the geometric mean prime divisor
Florian Luca, Igor E. Shparlinski
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 12, Nº. 2, 2006, págs. 155-163
Santos Hernández Hernández, Florian Luca
Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 40, Nº. 2, 2006, págs. 81-86
Arithmetic properties of positive integers with fixed digit sum
Florian Luca
Revista matemática iberoamericana, ISSN 0213-2230, Vol. 22, Nº 2, 2006, págs. 369-412
On integrality and periodicity of the Motzkin numbers
Martin Klazar, Florian Luca
Aequationes mathematicae, ISSN 0001-9054, Vol. 69, Nº. 1-2, 2005, págs. 68-75
Bounding the number of solutions of some congruences
Eric Levieil, Florian Luca, Igor E. Shparlinski
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 11, Nº. 2, 2005, págs. 175-180
On the period of the continued fraction expansion of [raíz cuadrada de dos, elevado a 2n+1, + 1]
Yann Bugeaud, Florian Luca
Indagationes mathematicae, ISSN 0019-3577, Vol. 16, Nº 1, 2005, págs. 21-36
On the Greatest Common Divisor of u - 1 and v - 1 with u and v Near S-units
Florian Luca
Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 3, 2005, págs. 239-256
Values of the Euler Function in Various Sequences
William D. Banks, Kevin Ford, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski
Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 1, 2005, págs. 1-19
.121221222... is not quadratic
Florian Luca
Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 2, 2005, págs. 353-362
On f(n) modulo G(n) and w(n) when f is a polynomial
Florian Luca
Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 2, 2004, págs. 149-164
On the largest prime factor of (ab+1)(ac+1)(bc+1)
Santos Hernández Hernández, Florian Luca
Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 9, Nº. 2, 2003, págs. 235-244
Euler indicators of binary recurrence sequences
Florian Luca
Collectanea mathematica, ISSN 0010-0757, Vol. 53, Fasc. 2, 2002, págs. 133-156
Infinite sets of positive integers whose sums are free of powers
Florian Luca
Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 36, Nº. 2, 2002, págs. 67-70
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