Papers of 2008

  • Irreducible components and isomorphisms of the Burnside ring

    Authors: Wolfgang Kimmerle , Florian Luca and Alberto Gerardo Raggi-Cárdenas

    Volume: 11(6)

    Pages: 831-844

    Journal: J. Group Theory

  • Galois groups of polynomials arising from circulant matrices

    Authors: M. Filaseta, F. Luca, P. Stănică, R.G. Underwood

    Volume: 128(1)

    Pages: 59–70

    Journal: Journal of Number Theory

  • On a conjecture of Broughan

    Authors: Santos Hernández Hernández and Florian Luca

    Volume: 136

    Pages: 403-407

    Journal: Proc. Amer. Math. Soc.

  • Integers divisible by sums of powers of their prime factors

    Authors: Jean-Marie De Koninck, Florian Luca

    Volume: 128(3)

    Pages: 557-563

    Journal: Journal of Number Theory

  • Prime divisors of binary holonomic sequences

    Authors: Florian Luca

    Volume: 40(2)

    Pages: 168-179

    Journal: Advances in Applied Mathematics

  • On the Diophantine equation x^2 + 5^a  13^b = y^n

    Authors: FADWA S. ABU MURIEFAH, FLORIAN LUCA and ALAIN TOGBÉ

    Volume: 50(1)

    Pages: 175-181

    Journal: Glasgow Mathematical Journal

  • On Totient Abundant Numbers

    Authors: Paul Loomis and Florian Luca

    Volume: 8(1)

    Article: A6

    Journal: INTEGERS

  • Positive Integers n Such That σ(φ(n)) = σ(n)

    Authors: J.-M. De Koninck and F. Luca

    Volume: 11

    Article: 08.1.5

    Journal: Journal of Integer Sequences

  • A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS

    Authors: ANDREJ DUJELLA, CLEMENS FUCHS, and FLORIAN LUCA

    Volume: 4(1)

    Article: 57-71

    Journal: International Journal of Number Theory

  • A Note on Deaconescu's Result Concerning Lehmer's Problem

    Authors: Santos Hernández Hernández and Florian Luca

    Volume: 8(1)

    Article: A12

    Journal: INTEGERS

  • Solutions of the Diophantine equation x^y + y^z + z^x = n!

    Authors: MIHAI CIPU, FLORIAN LUCA and MAURICE MIGNOTTE

    Volume: 50(2)

    Pages: 217-232

    Journal: Glasgow Mathematical Journal

  • Class groups of quadratic fields of 3-rank at least 2: Effective bounds

    Authors: Florian Luca, Allison M. Pacelli

    Volume: 128(4)

    Pages: 796-804

    Journal: Journal of Number Theory

  • On a problem of Nicol and Zhang

    Authors: Florian Luca, József Sándor

    Volume: 128(4)

    Pages: 1044-1059

    Journal: Journal of Number Theory

  • On the Euler function of repdigits

    Authors: Florian Luca

    Volume: 58

    Pages: 51-59

    Journal: Czechoslovak Math. J.

  • Quadratic non-residues versus primitive roots modulo p

    Authors: Florian Luca, Igor E. Shparlinski and R. Thangadurai

    Volume: 23(1)

    Pages: 97-104

    Journal: J. Ramanujan Math. Soc.

  • On the values of the divisor function

    Authors: Florian Luca & Igor E. Shparlinski

    Volume: 154

    Pages: 59-69

    Journal: Monatshefte fur Mathematik

  • On binary palindromes of the form 10^n\pm 1

    Authors: Florian Luca, Alain Togbé

    Volume: 346(9-10)

    Pages: 487-489

    Journal: Comptes Rendus Mathematique

  • Minimal Niven numbers

    Authors: H. Fredricksen, E. J. Ionascu, F. Luca, P. Stănică

    Volume: 132

    Pages: 135-159

    Journal: Acta Arithmetica

  • On the Diophantine equation x^2 + 2^a5^b 13^c = y^n

    Authors: Edray Goins, Florian Luca & Alain Togbé

    Pages: 430–442

    Journal: Algorithmic Number Theory

  • Asymptotic formulas for certain arithmetic functions

    Authors: M. Garaev, M. Kühleitner, F. Luca and W. Nowak

    Volume: 58(3)

    Pages: 301–308

    Journal: Mathematica Slovaca

  • Fibonacci numbers at most one away from a perfect power

    Authors: Y. Bugeaud, F. Luca, M. Mignotte and S. Siksek

    Volume: 63(2)

    Pages: 65-75

    Journal: Elem. Math.

  • Non-Holonomicity of Sequences Defined via Elementary Functions

    Authors: Jason P. Bell, Stefan Gerhold, Martin Klazar & Florian Luca

    Volume: 12

    Pages: 1-6

    Journal: Ann. Comb.

  • Diophantine equations with products of consecutive terms in Lucas sequences II

    Authors: Florian Luca, T. N. Shorey

    Volume: 133

    Pages: 53-71

    Journal: Acta Arithmetica

  • Class numbers with many prime factors

    Authors: Kalyan Chakraborty, Florian Luca, Anirban Mukhopadhyay

    Volume: 128(9)

    Pages: 2559-2572

    Journal: Journal of Number Theory

  • On the proportion of numbers coprime to a given integer

    Authors: Paul Erdős, Florian Luca, Carl Pomerance

    Pages: 47-64

    Journal: American Mathematical Society

  • On the difference of arithmetic functions at consecutive arguments

    Authors: J.-M. De Koninck and F. Luca

    Volume: 46

    Pages: 179-190

    Journal: Anatomy of Integers, CRM Proceedings and Lecture Notes, AMS

  • EXPONENTS OF CLASS GROUPS OF REAL QUADRATIC FIELDS

    Authors: KALYAN CHAKRABORTY, FLORIAN LUCA, and ANIRBAN MUKHOPADHYAY

    Volume: 4(4)

    Pages: 597-611

    Journal: International Journal of Number Theory

  • On the values of a class of analytic functions at algebraic points

    Authors: Boris Adamczewski, Yann Bugeaud, Florian Luca

    Volume: 135

    Pages: 1-18

    Journal: Acta Arithmetica

  • Arithmetic properties of Apéry numbers

    Authors: Florian Luca, Igor E. Shparlinski

    Volume: 78(3)

    Pages: 545-562

    Journal: Journal of the London Mathematical Society

  • Residue classes having tardy totients

    Authors: John B. Friedlander, Florian Luca

    Volume: 40(6)

    Pages: 1007-1016

    Journal: Bulletin of the London Mathematical Society

  • ON THE SUM OF THE FIRST n PRIMES

    Authors: Javier Cilleruelo, Florian Luca

    Volume: 59(4)

    Pages: 475–486

    Journal: The Quarterly Journal of Mathematics

  • Integers without divisors from a fixed arithmetic progression

    Authors: William D. Banks , John B. Friedlander and Florian Luca

    Volume: 20

    Pages: 1005-1037

    Journal: Forum Math.

  • On the positive integral solutions of the Diophantine equation x^3+by+1-xyz = 0

    Authors: Florian Luca & Alain Togbé

    Volume: 31(2)

    Pages: 129-134

    Journal:  Bull. Malaysian Math. Soc.

  • FIBONACCI DIOPHANTINE TRIPLES

    Authors: Florian Luca and László Szalay

    Volume: 43(2)

    Pages: 253-264

    Journal: Glasnik Matematicki

  • On quadratic fields generated by polynomials

    Authors: Florian Luca & Igor E. Shparlinski

    Volume: 91

    Pages: 399–408

    Journal: Arch. Math.(Basel)

  • On positive integers with a certain nondivisibility property

    Authors: Ioulia Baoulina, Florian Luca

    Volume: 35

    Pages: 11-19

    Journal: Annales Mathematicae et Informaticae

  • On the diophantine equation x^2 + 2^a 5^b = y^n

    Authors: FLORIAN LUCA and ALAIN TOGBÉ

    Volume: 4(6)

    Pages: 973-979

    Journal: International Journal of Number Theory

  • Diophantine triples with values in binary recurrences

    Authors: CLEMENS FUCHS, FLORIAN LUCA AND LASZLO SZALAY

    Volume: VII

    Pages: 579-608

    Journal: Ann. Scuola Norm. Sup. Pisa Cl. Sci.

  • Almost powers in the Lucas sequence

    Authors: Yann BUGEAUD, Florian LUCA, Maurice MIGNOTTE et Samir SIKSEK

    Volume: 20(3)

    Pages: 555-600

    Journal: Journal de théorie des nombres de Bordeaux

  • Sets with prescribed arithmetic densities

    Authors: LUCA, F.—POMERANCE, C.—PORUBSKÝ, Š

    Volume: 3(2)

    Pages: 67-80

    Journal: Uniform Distribution Theory

  • Variants of the Brocard–Ramanujan equation

    Authors: Omar Kihel; Florian Luca

    Volume: 20(2)

    Pages: 353-363

    Journal: Bordeaux Journal of Number Theory

  • On the distribution of some means concerning the Euler function

    Authors: Jean-Marc Deshouillers, Florian Luca

    Volume: 39(2)

    Pages: 335-344

    Journal: Funct. Approx. Comment. Math.

  • On a sequence of integers arising from simultaneous Pell equations

    Authors: Florian Luca, Peter Gareth Walsh

    Volume: 38(2)

    Pages: 221-226

    Journal: Funct. Approx. Comment. Math.

  • On positive integers n such that  \phi(1) +…+ \phi(n) is a square

    Authors: F. Luca and A. Sankaranarayanan

    Volume: 14

    Pages: 1-6

    Journal: Bol. Soc. Mat. Mexicana