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Somme des chiffres et répartition dans les classes de congruence pour les palindromes ellipséphiques

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Résumé

L’objet de cet article est de généraliser plusieurs résultats concernant la répartition dans les progressions arithmétiques de la fonction somme des chiffres au cas des nombres palindromes ellipséphiques.

Abstract

We generalize several results concerning the distribution in residue classes of the sum of digits function to the case of palindromes with missing digits.

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Authors and Affiliations

  1. Université de Lorraine, Institut Élie Cartan de Lorraine, UMR 7502, Campus Aiguillettes, BP 70739, 54506, Vandœuvre-lès-Nancy cedex, France

    K. Aloui

  2. Université d’Aix-Marseille et Institut Universitaire de France, Institut de Mathématiques de Marseille UMR 7373 CNRS, Campus de Luminy, case 907, 13288, Marseille cedex 9, France

    Ch. Mauduit

  3. Université de Sfax, Facultés des Sciences de Sfax, Route de la Soukra km 3.5, B.P. 1171, Sfax, 3000, Tunisie

    K. Aloui & M. Mkaouar

Authors
  1. K. Aloui
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  2. Ch. Mauduit
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  3. M. Mkaouar
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Corresponding author

Correspondence to K. Aloui.

Additional information

The first author was supported by the binational research project MuDeRa (ANR-14-CE34-0009) which is funded by the French and Austrian Science Funds ANR and FWF.

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Aloui, K., Mauduit, C. & Mkaouar, M. Somme des chiffres et répartition dans les classes de congruence pour les palindromes ellipséphiques. Acta Math. Hungar. 151, 409–455 (2017). https://doi.org/10.1007/s10474-017-0688-4

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  • DOI: https://doi.org/10.1007/s10474-017-0688-4

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