Digital sum moments and substitutions

Jean Marie Dumont; Alain Thomas

Acta Arithmetica (1993)

  • Volume: 64, Issue: 3, page 205-225
  • ISSN: 0065-1036

How to cite


Jean Marie Dumont, and Alain Thomas. "Digital sum moments and substitutions." Acta Arithmetica 64.3 (1993): 205-225. <>.

author = {Jean Marie Dumont, Alain Thomas},
journal = {Acta Arithmetica},
keywords = {sums of digits; asymptotic behaviour; nowhere differentiable functions; rotation with quadratic angle; moments of the sum-of-digits function; substitution; Parry expansion; integer bases},
language = {eng},
number = {3},
pages = {205-225},
title = {Digital sum moments and substitutions},
url = {},
volume = {64},
year = {1993},

AU - Jean Marie Dumont
AU - Alain Thomas
TI - Digital sum moments and substitutions
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 3
SP - 205
EP - 225
LA - eng
KW - sums of digits; asymptotic behaviour; nowhere differentiable functions; rotation with quadratic angle; moments of the sum-of-digits function; substitution; Parry expansion; integer bases
UR -
ER -


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Citations in EuDML Documents

  1. Michael Drmota, Johannes Gajdosik, The distribution of the sum-of-digits function
  2. Mario Lamberger, Jörg M. Thuswaldner, Distribution properties of digital expansions arising from linear recurrences
  3. Pierre Arnoux, Valérie Berthé, Arnaud Hilion, Anne Siegel, Fractal representation of the attractive lamination of an automorphism of the free group
  4. Jörg M. Thuswaldner, Unimodular Pisot substitutions and their associated tiles
  5. Guy Barat, Valérie Berthé, Pierre Liardet, Jörg Thuswaldner, Dynamical directions in numeration

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