Papers of 2012

  • Cullen numbers with the Lehmer property

    Authors: José María Grau Ribas and Florian Luca

    Volume: 140

    Pages: 129-134

    Journal: Proc.Amer.Math. Soc.

  • Digit sums of binomial sums

    Authors: Arnold Knopfmacher, Florian Luca

    Volume: 132(2)

    Pages: 324-331

    Journal: Journal of Number Theory

  • Perfect powers in q-binomial coefficients

    Authors: Florian Luca

    Volume: 151

    Pages: 279-292

    Journal: Acta Arithmetica

  • On the number of nonzero digits of the partition function

    Authors: Florian Luca

    Volume: 98

    Pages: 235-240

    Journal: Archiv. Math.

  • On the number of antipodal bicolored necklaces

    Authors: Florian Luca & Ricardo Strausz

    Volume: 83

    Pages: 67-73

    Journal: Aeq. Math.

  • On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves

    Authors: Jorge Jiménez Urroz, Florian Luca and Igor E. Shparlinski

    Volume: 81

    Pages: 1093-1110

    Journal: Math. Comp.

  • On a variant of Giuga numbers

    Authors: José María Grau, Florian Luca & Antonio M. Oller-Marcén

    Volume: 28

    Pages: 653-660

    Journal: Acta Math.

  • On the largest prime factor of numerators of Bernoulli numbers

    Authors: Attila Bérczes, Florian Luca

    Volume: 23(1-2)

    Pages: 128-134

    Journal: Indag Math.

  • Power Values of Divisor Sums

    Authors: Frits Beukers,Florian Luca &Frans Oort

    Volume: 119(5)

    Pages: 373-380

    Journal: Amer. Math. Monthly

  • ON STABLE QUADRATIC POLYNOMIALS

    Authors: OMRAN AHMADI, FLORIAN LUCA, ALINA OSTAFE and IGOR E. SHPARLINSKI

    Volume: 54(2)

    Pages: 359-369

    Journal: Glasgow Math. J.

  • On the diophantine equation 2^x = x^2 + y^2 - 2

    Authors: Alexandru Gica, Florian Luca

    Volume: 46(1)

    Pages: 109-116

    Journal: Funct. et Approx.Comment. Math.

  • On numbers n dividing the nth term of a linear recurrence

    Authors: Juan José Alba González, Florian Luca, Carl Pomerance and Igor E. Shparlinski

    Volume: 55(2)

    Pages: 271-289

    Journal: Proc. Edinburgh. Math. Soc.

  • Repdigits as sums of three Fibonacci numbers

    Authors: Florian Luca

    Volume: 17

    Pages: 1-11

    Journal: Math. Commun.

  • On the system of Diophantine equations a^2 + b^2 = (m^2 + 1)^r and a^x + b^y = (m^2 + 1)z

    Authors: Florian Luca

    Volume: 153

    Pages: 373-392

    Journal: Acta Arithmetica

  • On the Euler function of the Catalan numbers

    Authors: Florian Luca, Pantelimon Stănică

    Volume: 132(7)

    Pages: 1404-1424

    Journal: Journal of Number Theory

  • Powers of Two in Generalized Fibonacci Sequences

    Authors: Jhon J. Bravo, Florian Luca

    Volume: 46

    Pages: 67-79

    Journal: Revista Colombiana de Matem ́aticas

  • On a Diophantine equation of Ayad and Kihel

    Authors: Mohamed El Bachraoui & Florian Luca

    Volume: 35(2)

    Pages: 235-243

    Journal: Quaestiones Mathematicae

  • On the Diophantine equation 2^m + nx^2 = y^n

    Authors: Florian Luca, Gökhan Soydan

    Volume: 132(2)

    Pages: 2604-2609

    Journal: J. Number Theory

  • ON THE LOG-CONCAVITY OF THE DEGENERATE BERNOULLI NUMBERS

    Authors: FLORIAN LUCA and PAUL THOMAS YOUNG

    Volume: 8(3)

    Pages: 789-800

    Journal: Int. J. Number Theory

  • On Cullen numbers which are both Riesel and Sierpiński numbers

    Authors: Pedro Berrizbeitia, J.G. Fernandes, Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet

    Volume: 132(12)

    Pages: 2836-2841

    Journal: Journal of Number Theory

  • Compositions of n satisfying some coprimality conditions☆

    Authors: Daniela Bubboloni, Florian Luca, Pablo Spiga

    Volume: 132(12)

    Pages: 2922-2946

    Journal: Journal of Number Theory

  • SOME REMARKS ON THE RIEMANN ZETA FUNCTION AND PRIME FACTORS OF NUMERATORS OF BERNOULLI NUMBERS

    Authors: FLORIAN LUCA and AMALIA PIZARRO-MADARIAGA

    Volume: 86(2)

    Pages: 216-223

    Journal: Bulletin of the Australian Mathematical Society

  • On the sum of two divisors of (n^2 + 1)/2

    Authors: Andrej Dujella and Florian Luca

    Volume: 65(1)

    Pages: 83-96

    Journal: Periodica Mathematica Hungarica

  • On the largest prime factor of the partition function of n

    Authors: Florian Luca

    Volume: 28

    Pages: 423–434

    Journal: The Ramanujan Journal

  • On Integers for Which the Sum of Divisors is the Square of the Squarefree Core

    Authors: K.Broughan, I.Katai, J.-M. De Koninck and F. Luca

    Volume: 15

    Article: 12.7.5

    Journal: Journal of Integer Sequences

  • ON A CONJECTURE REGARDING BALANCING WITH POWERS OF FIBONACCI NUMBERS

    Authors: Saúl Díaz Alvarado, Andrej Dujella, and Florian Luca

    Volume: 12A

    Article: A2

    Journal: INTEGERS 12A

  • ON THE NUMBER OF DIVISORS OF n! AND OF THE FIBONACCI NUMBERS

    Authors: Florian Luca and Paul Thomas Young

    Volume: 47(2)

    Pages: 285-293

    Journal: Glasnik Matematicki

  • ON EQUAL VALUES OF POWER SUMS OF ARITHMETIC PROGRESSIONS

    Authors: András Bazsó, Dijana Kreso, Florian Luca and Ákos Pintér

    Volume: 47(2)

    Pages: 253-263

    Journal: Glasnik Matematicki

  • How many primes can divide the values of a polynomial?

    Authors: Florian Luca, Paul Pollack

    Volume: 156

    Pages: 19-27

    Journal: Acta Arithmetica

  • On the largest prime factor of the partition function of n

    Authors: Javier Cilleruelo, Florian Luca

    Volume: 156

    Pages: 29-38

    Journal: Acta Arithmetica

  • ON BARYCENTRIC CONSTANTS

    Authors: Florian Luca, Oscar Ordaz, and María Teresa Varela

    Volume: 53(2)

    Pages: 1-12

    Journal: Rev. Union Mat. Argentina

  • On a problem of Bednarek

    Authors: Florian Luca

    Volume: 20(2)

    Pages: 79-80

    Journal: Communications in Mathematics

  • On groups with Perfect Order Subsets

    Authors: Kevin Ford, Sergei Konyagin, Florian Luca

    Volume: 2(4)

    Pages: 297-312

    Journal: Moscow Journal of Combinatorics and Number Theory

  • ON SOME CONJECTURES ON THE MONOTONICITY OF SOME ARITHMETICAL SEQUENCES

    Authors: Florian Luca and Pantelimon Stănică

    Volume: 4(2)

    Pages: 115-123

    Journal: Journal of Combinatorics and Number Theory

  • GAPS IN BINARY EXPANSIONS OF SOME ARITHMETIC FUNCTIONS, AND THE IRRATIONALITY OF THE EULER CONSTANT

    Authors: J. Jimenez Urroz, F. Luca and M. Waldschmidt

    Volume: 8

    Pages: 28-35

    Journal: Journal of Prime Research in Mathematics

  • ON A VARIATION OF A CONGRUENCE OF SUBBARAO

    Authors: ANDREJ DUJELLA and FLORIAN LUCA

    Volume: 93(1-2)

    Pages: 85-90

    Journal: Journal of the Australian Mathematical Society

  • On the Multiplicative Order of Fn+1/Fn Modulo Fm

    Authors: Takao Komatsu, Florian Luca, and Yohei Tachiya

    Volume: 12B

    Article: A8

    Journal: INTEGERS 12B