Papers of 2018

  • Repdigits as sums of three Pell numbers

    Authors: Benedict Vasco Normenyo, Florian Luca, Alain Togbé

    Pages: 318-328

    Journal: Periodica Mathematica Hungarica

  • X-coordinates of Pell equations as sums of two Tribonacci numbers

    Authors: Eric F Bravo, Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 175-190

    Journal: Periodica Mathematica Hungarica

  • On a problem of Pillai with k–generalized Fibonacci numbers and powers of 2

    Authors: Mahadi Ddamulira, Carlos A Gómez, Florian Luca

    Pages: 635-664

    Journal: Monatshefte für Mathematik

  • Romanov type problems

    Authors: Christian Elsholtz, Florian Luca, Stefan Planitzer

    Pages: 267-289

    Journal: The Ramanujan Journal

  • Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms

    Authors: Yuri F Bilu, Jean-Marc Deshouillers, Sanoli Gun, Florian Luca

    Pages: 2441-2461

    Journal: Compositio Mathematica

  • Every positive integer is a sum of three palindromes

    Authors: Javier Cilleruelo, Florian Luca, Lewis Baxter

    Pages: 3023-3055

    Journal: Mathematics of Computation

  • On the proximity of large primes

    Authors: Minjia Shi, Florian Luca, Patrick Solé

    Pages: 981-986

    Journal: Mathematica Slovaca

  • Coefficients of L-functions of elliptic curves and the Euler function

    Authors: Ahmet M Güloğlu, Florian Luca, Aynur Yalçiner

    Pages: 247-273

    Journal: Monatshefte für Mathematik

  • Diophantine triples in linear recurrence sequences of Pisot type

    Authors: Clemens Fuchs, Christoph Hutle, Florian Luca

    Article: 29

    Journal: Research in Number Theory 4

  • Polynomial values of sums of products of consecutive integers

    Authors: András Bazsó, Attila Bérczes, Lajos Hajdu, Florian Luca

    Pages: 21-34

    Journal: Monatshefte für Mathematik

  • Diophantine quadruples with values in k-generalized Fibonacci numbers

    Authors: Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 939-949

    Journal: Mathematica Slovaca

  • On perfect powers that are sums of two Fibonacci numbers

    Authors: Florian Luca, Vandita Patel

    Pages: 90-96

    Journal: Journal of Number theory

  • On the difference in values of the Euler function totient near prime arguments

    Authors: Stephan Ramon Garcia, Florian Luca

    Pages: 71-98

    Book: Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond

  • Diophantine triples and k-generalized Fibonacci sequences

    Authors: Clemens Fuchs, Christoph Hutle, Florian Luca, László Szalay

    Pages: 1449-1465

    Journal: Bulletin of the Malaysian Mathematical Sciences Society

  • A VARIATION ON THE THEME OF NICOMACHUS

    Authors: Florian Luca, Geremias Polanco, Wadim Zudilin

    Pages: 367-373

    Journal: Bulletin of the Australian Mathematical Society

  • On prime factors of the sum of two k-Fibonacci numbers

    Authors: Carlos Alexis Gómez Ruiz, Florian Luca

    Pages: 1171-1195

    Journal: International Journal of Number Theory

  • Markov equation with Fibonacci components

    Authors: Florian Luca, Anitha Srinivasan

    Pages: 126-129

    Journal: The Fibonacci Quartery

  • Diophantine equations with products of consecutive members of binary recurrences

    Authors: Attila Bérczes, Yuri F Bilu, Florian Luca

    Pages: 49-75

    Journal: The Ramanujan Journal

  • Primitive root biases for prime pairs I: Existence and non-totality of biases

    Authors: Stephan Ramon Garcia, Florian Luca, Timothy Schaaff

    Pages: 93-120

    Journal: Journal of Number Theory

  • Triangular repblocks

    Authors: Bir Kafle, Florian Luca, Alain Togbé

    Pages: 325-328

    Journal: The Fibonacci Quarterly

  • Repdigits as Sums of Four Fibonacci or Lucas Numbers

    Authors: Benedict Vasco Normenyo, Florian Luca, Alain Togbé

    Article: 18.7.7

    Journal: J. Integer Seq.

  • There are no Diophantine quadruples of Fibonacci numbers

    Authors: Yasutsugu Fujita, Florian Luca

    Pages: 19-38

    Journal: Acta Arithmetica

  • A Diophantine equation in k-Fibonacci numbers and repdigits

    Authors: Jhon J Bravo, Carlos A Gomez, Florian Luca

    Pages: 299-315

    Journal: Colloquium Mathematicum

  • On the error term of a lattice counting problem

    Authors: Olivier Bordellès, Florian Luca, Igor E Shparlinski

    Pages: 19-36

    Journal: Journal of Number Theory

  • Denominators of Bernoulli polynomials

    Authors: Olivier Bordellès, Florian Luca, Pieter Moree, Igor E Shparlinski

    Pages: 519-541

    Journal: Mathematika

  • On the x-coordinates of Pell equations which are Fibonacci numbers

    Authors: Florian Luca, Alain Togbé

    Pages: 18-30

    Journal: Mathematica scandinavica

  • On x-coordinates of Pell equations which are repdigits

    Authors: B. Faye and F. Luca

    Pages: 52-62

    Journal: Fibonacci Quart.

  • On Pillai's problem with Pell numbers and powers of 2

    Authors: M. O. Hernane, F. Luca, S. E. Rihane, and A. Togbe

    Pages: 22-31

    Journal: The Hardy-Ramanujan Journal 41