Papers of 2009

  • Products of members of Lucas sequences with indices in an interval being a power

    Authors: Florian Luca, T.N. Shorey

    Volume: 129(2)

    Pages: 303-315

    Journal: Journal of Number Theory

  • On Giuga Numbers

    Authors: Florian Luca, Carl Pomerance, and Igor Shparlinski

    Volume: 4(1)

    Pages: 13–18

    Journal: International Journal of Modern Mathematics

  • Pseudoprime reductions of elliptic curves

    Authors: ALINA CARMEN COJOCARU, FLORIAN LUCA and IGOR E. SHPARLINSKI

    Volume: 146(3)

    Pages: 513-522

    Journal: Cambridge Math. Soc.

  • Uniform Distribution of Fractional Parts Related to Pseudoprimes

    Authors: William D. Banks, Moubariz Z. Garaev, Florian Luca and Igor E. Shparlinski

    Volume: 61(3)

    Pages: 481-502

    Journal: Canadian J. Math.

  • On the greatest prime factor of sides of a Heron triangle

    Authors: Florian Luca

    Volume: 64(1)

    Pages: 9-12

    Journal: Elem. Math.

  • ON THE INDEX OF COMPOSITION OF THE EULER FUNCTION AND OF THE SUM OF DIVISORS FUNCTION

    Authors: JEAN-MARIE DE KONINCK and FLORIAN LUCA

    Volume: 86(2)

    Pages: 155-167

    Journal: J. Australian Math. Soc.

  • SUM OF DIVISORS OF FIBONACCI NUMBERS

    Authors: KONYAGIN, S. V, LUCA, F, STĂNICĂ P

    Volume: 4(1)

    Pages: 1–8

    Journal: Uniform Distribution Theory

  • ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS

    Authors: KEVIN FORD, FLORIAN LUCA and IGOR E. SHPARLINSKI

    Volume: 79(3)

    Pages: 455-463

    Journal: Bull Australian Math. Soc.

  • A VARIANT ON THE NOTION OF A DIOPHANTINE s-TUPLE

    Authors: WILLIAM D. BANKS, FLORIAN LUCA and LÁSZLÓ SZALAY

    Volume: 51(1)

    Article: 83-89

    Journal: Glasgow Mathematical Journal

  • Multiperfect numbers on lines of the Pascal triangle

    Authors: Florian Luca, Juan Luis Varona

    Volume: 129(5)

    Pages: 1136-1148

    Journal: Journal of Number Theory

  • On Strings of Consecutive Integers with a Distinct Number of Prime Factors

    Authors: Jean-Marie de Koninck, John B. Friedlander and Florian Luca

    Volume: 137(5)

    Pages: 1585-1592

    Journal: Proceedings of the American Mathematical Society

  • On the Diophantine equation x^2 + 2^a13^b  = y^n

    Authors: Florian Luca, Alain Togbé

    Volume: 116

    Article: 139-146

    Journal: Colloq. Math.

  • On special finite fields

    Authors: Florian Luca and Igor E. Shparlinski

    Volume: 487

    Pages: 163-168

    Journal: Amer. Math. Soc.

  • On the Range of the Iterated Euler Function

    Authors: Florian Luca and Carl Pomerance

    Volume: 9

    Article: A8

    Journal: INTEGERS

  • Perfect powers in solutions to Pell equations

    Authors: K. Chakraborty and F. Luca

    Volume: 43(1)

    Pages: 71-86

    Journal: Rev. Colombiana Mat.

  • Representing integers as linear combinations of S-units

    Authors: Zs. Ádám, L. Hajdu, F. Luca

    Volume: 138

    Pages: 101-107

    Journal: Acta Arithmetica

  • On the independence of σ(ϕ(n)) and ϕ(σ(n))

    Authors: Mohand-Ouamar Hernane, Florian Luca

    Volume: 138

    Pages: 337-346

    Journal: Acta Arithmetica

  • SQUARES WHOSE ALIQUOT SUM IS A SQUARE

    Authors: Florian Luca and Douglas E. Iannucci

    Volume: 13(1)

    Pages: 17-26

    Journal: JPJANT

  • On digit sums of multiples of an integer

    Authors: Cécile Dartyge, Florian Luca, Pantelimon Stănică

    Volume: 129(11)

    Pages: 2820-2830

    Journal: Journal of Number Theory

  • φ(Fn) = Fm

    Authors: Florian Luca and Florin Nicolae

    Volume: 9

    Article: A30

    Journal: INTEGERS

  • On quadratic fields generated by the Shanks sequence

    Authors: Florian Luca and Igor E. Shparlinski

    Volume: 52(3)

    Pages: 719-729

    Journal: Proceedings of the Edinburgh Mathematical Society

  • ON MACHIN'S FORMULA WITH POWERS OF THE GOLDEN SECTION

    Authors: FLORIAN LUCA and PANTELIMON STĂNICĂ

    Volume: 5(6)

    Pages: 973-979

    Journal: International Journal of Number Theory

  • On the Diophantine equation x^2 + C = 2y^n

    Authors: FADWA S. ABU MURIEFAH, FLORIAN LUCA, SAMIR SIKSEK, and SZABOLCS TENGELY

    Volume: 5(6)

    Pages: 1117-1128

    Journal: Int. J. Number Theory

  • Power Values of Palindromes

    Authors: Cilleruelo, Javier; Luca, Florian; Shparlinski, Igor E.

    Volume: 1(2)

    Pages: 101-107

    Journal: J. Comb. Number Theory

  • The solution of a divisibility problem related to binomial coefficients

    Authors: F. Luca and G. Nyul

    Volume: 1

    Pages: 183-187

    Journal:  J. Comb. Number Theory

  • On even integers not of the form 2 k +σ(m)

    Authors: F. Luca and F. Nicolae

    Volume: 1

    Pages: 263-268

    Journal: J. Comb. Number Theory

  • On an arithmetic function considered by Pillai

    Authors: Florian Luca; Ravindranathan Thangadurai

    Volume: 21(3)

    Pages: 695-701

    Journal: Journal de théorie des nombres de Bordeaux

  • Fibonacci-Riesel and Fibonacci-Sierpinski numbers

    Authors: Florian Luca and V. Janitzio Mejía Huguet

    Volume: 46/47(3)

    Pages: 216-219

    Journal: Fibonacci Quart

  • Arithmetic properties of the integer part of powers of algebraic numbers

    Authors: Florian Luca and Maurice Mignotte

    Volume: 44(2)

    Pages: 285-307

    Journal: Glasnik Matematicki

  • On the Euler Function of Fibonacci Numbers

    Authors: F. Luca, V. J. Mejia Huguet and F. Nicolae

    Volume: 12

    Article: A09.6.6

    Journal: J. Integer Sequences

  • On Positive Integers n with a Certain Divisibility Property

    Authors: F. Luca and V. Tipu

    Volume: 12

    Pages: A09.3.1

    Journal: J. Integer Sequences

  • Fields generated by roots of x^n + ax + b

    Authors: Mohamed Ayad, Florian Luca

    Volume: 3(3)

    Pages: 95-105

    Journal: Albanian J. Math.

  • Generalized balancing numbers

    Authors: Kálmán Liptai, Florian Luca, Ákos Pintér, László Szalay

    Volume: 20(1)

    Pages: 87-100

    Journal: Indag. Math.

  • The Product of Exponents in the Factorization of Consecutive Integers

    Authors: Jean-Marie de Koninck, Florian Luca

    Volume: 55(1-2)

    Pages: 59-65

    Journal: Mathematika

  • A remark on a question of Rotkiewicz

    Authors: Luca, Florian; Somer, Lawrence

    Volume: 194

    Pages: 173-176

    Journal: Congr. Numer.

  • Fibonacci numbers of the form p^a\pm p^b, Applications of Fibonacci Numbers

    Authors: F. Luca and P.Stănică

    Volume: 194

    Pages: 177-183

    Journal: Cong. Numer.

  • On the composition of a certain arithmetic function

    Authors: Florian Luca, József Sándor

    Volume: 41(2)

    Pages: 185-209

    Journal: Funct. Approx. Comment. Math.

  • Lucas Diophantine Triples

    Authors: Florian Luca and László Szalay

    Volume: 9

    Article: A35

    Journal: INTEGERS

  • Some remarks on Sierpiński numbers and related problems

    Authors: Florian Luca and V. Janitzio Mejía Huguet

    Volume: 15(3)

    Pages: 11-23

    Journal: Bol. Soc. Mat. Mexicana

  • UNIFORM DISTRIBUTION MODULO 1 OF THE HARMONIC PRIME FACTOR OF AN INTEGER

    Authors: KÁTAI, I. and LUCA, F.

    Volume: 4(2)

    Pages: 115-132

    Journal: Uniform Distribution Theory

  • On the Diophantine equation x^2 + C = 4y^n

    Authors: Florian Luca, Szabolcs Tengely & Alain Togbé

    Volume: 33

    Pages: 171-184

    Journal: Ann. Sci. Math. Quebec

  • Products of Fibonacci numbers with indices in an interval and at most four omitted being a power

    Authors: Florian Luca, T.N. Shorey

    Volume: 20(4)

    Pages: 551-556

    Journal: Indagationes Mathematicae