Advertisement

Periodica Mathematica Hungarica

, Volume 42, Issue 1–2, pp 145–162 | Cite as

Arithmetic properties of integers with missing digits: distribution in residue classes

  • Sergei Konyagin
Article

Abstract

We show that numbers with missing digits are in average well-distributed in residue classes mod m where averaging is taken over m.

Keywords

Residue Class Arithmetic Property Missing Digit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. [1]
    C. Dartyge and C. Mauduit, Nombres presque premiers dont l'écriture en base r ne comporte pas certains chiffres, to appear in J. Number Theory.Google Scholar
  2. [2]
    P. ErdŐs, C. Mauduit and A. SÁrkÖzy, On arithmetic properties of integers with missing digits. I: Distribution in residue classes, J. Number Theory 70 (1998), 99–120.Google Scholar
  3. [3]
    P. ErdŐs, C. Mauduit and A. SÁrkÖzy, On arithmetic properties of integers with missing digits. II: Prime factors, Discrete Math. 200 (1999), 149–164.Google Scholar
  4. [4]
    M. Filaseta and S. V. Konyagin, Squarefree values of polynomials all of whose coefficients are 0 and 1, Acta Arith. 74 (1996), 191–205.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Sergei Konyagin
    • 1
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia

Personalised recommendations