The distribution of the sum-of-digits function
Journal de Théorie des Nombres de Bordeaux, Volume 10 (1998) no. 1, pp. 17-32.

By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.

Dans cet article, nous démontrons que la fonction “somme de chiffres” relative à des recurrences linéaires finies et infinies paxticulieres) satisfait à un theoreme central limite. Nous obtenons aussi un théorème limite local.

DOI: 10.5802/jtnb.216
Keywords: digital expansions, central limit theorem 
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Michael Drmota; Johannes Gajdosik. The distribution of the sum-of-digits function. Journal de Théorie des Nombres de Bordeaux, Volume 10 (1998) no. 1, pp. 17-32. doi : 10.5802/jtnb.216. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.216/

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