On Gelfond’s conjecture about the sum of digits of prime numbers
Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 415-422.

Dans cet article nous exposons les étapes importantes de la preuve de la conjecture de Gelfond [6] (1968) dans un travail récent en collaboration avec Christian Mauduit [11] concernant la somme des chiffres des nombres premiers, dans l’esprit de l’exposé donné à Edimbourg dans le cadre des Journées Arithmétiques 2007.

The goal of this paper is to outline the proof of a conjecture of Gelfond [6] (1968) in a recent work in collaboration with Christian Mauduit [11] concerning the sum of digits of prime numbers, reflecting the lecture given in Edinburgh at the Journées Arithmétiques 2007.

DOI : 10.5802/jtnb.678
Rivat, Joël 1

1 Institut de Mathématiques de Luminy CNRS-UMR 6206 163 avenue de Luminy Case 907 13288 Marseille Cedex 9, France.
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Rivat, Joël. On Gelfond’s conjecture about the sum of digits of prime numbers. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 415-422. doi : 10.5802/jtnb.678. http://archive.numdam.org/articles/10.5802/jtnb.678/

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