no. 1
The distribution of the sum-of-digits function
Journal de théorie des nombres de Bordeaux, Tome 10 (1998) no. 1, pp. 17-32.

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.

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.

Mots clés : digital expansions, central limit theorem 
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     publisher = {Universit\'e Bordeaux I},
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Drmota, Michael; Gajdosik, Johannes. The distribution of the sum-of-digits function. Journal de théorie des nombres de Bordeaux, Tome 10 (1998) no. 1, pp. 17-32. http://archive.numdam.org/item/JTNB_1998__10_1_17_0/

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