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ArticleOriginal scientific text

Title

On the arithmetic structure of the integers whose sum of digits is fixed

Authors 1, 2

Affiliations

  1. Laboratoire de Mathématiques Discrètes, CNRS - UPR 9016, 163, Avenue de Luminy, F13288 Marseille Cedex 9, France
  2. Department of Algebra and Number Theory, Eötvös Loránd University, H-1088 Budapest, Múzeum krt. 6-8, Hungary

Bibliography

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  2. [Ell-S] P. D. T. A. Elliott and A. Sárközy, The distribution of the number of prime divisors of sums a+b, J. Number Theory 29 (1988), 94-99.
  3. [Er-P-S-S] P. Erdős, C. Pomerance, A. Sárközy and C. L. Stewart, On elements of sumsets with many prime factors, ibid. 44 (1993), 93-104.
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  5. [Fin] M. N. J. Fine, The distribution of the sum of digits (mod p), Bull. Amer. Math. Soc. 71 (1965), 2651-2652.
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  7. [F-M2] E. Fouvry et C. Mauduit, Crible asymptotique de Bombieri et somme des chiffres, preprint.
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  9. [Mau] C. Mauduit, Substitutions et ensembles normaux, Habilitation Dir. Rech., Université Aix-Marseille II, 1989.
  10. [M-S] C. Mauduit and A. Sárközy, On the arithmetic structure of sets characterized by sum of digits properties, J. Number Theory 61 (1996), 25-38.
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Acta Arithmetica
1997/81/2
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Pages:
145-173
Main language of publication
English
Received
1996-01-15
Published
1997
Exact and natural sciences