On Gelfond’s conjecture about the sum of digits of prime numbers
Joël Rivat
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.

@article{JTNB_2009__21_2_415_0,
     author = {Jo\"el Rivat},
     title = {On Gelfond's conjecture about the sum of digits of prime numbers},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {415--422},
     publisher = {Universit\'e Bordeaux 1},
     volume = {21},
     number = {2},
     year = {2009},
     doi = {10.5802/jtnb.678},
     zbl = {pre05620658},
     mrnumber = {2541433},
     language = {en},
     url = {jtnb.centre-mersenne.org/item/JTNB_2009__21_2_415_0/}
}
Joël Rivat. 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. https://jtnb.centre-mersenne.org/item/JTNB_2009__21_2_415_0/

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