Somme des chiffres et transcendance
Bulletin de la Société Mathématique de France, Tome 110 (1982), pp. 279-285.
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     author = {Allouche, Jean-Paul},
     title = {Somme des chiffres et transcendance},
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     pages = {279--285},
     publisher = {Soci\'et\'e math\'ematique de France},
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     year = {1982},
     doi = {10.24033/bsmf.1962},
     mrnumber = {84f:10045},
     zbl = {0508.10022},
     language = {fr},
     url = {http://www.numdam.org/articles/10.24033/bsmf.1962/}
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Allouche, Jean-Paul. Somme des chiffres et transcendance. Bulletin de la Société Mathématique de France, Tome 110 (1982), pp. 279-285. doi : 10.24033/bsmf.1962. http://www.numdam.org/articles/10.24033/bsmf.1962/

[1] Christol (G.), Kamae (T.), Mendès France (M.) et Rauzy (G.). - Suites algébriques, automates et substitutions, Bull. Soc. math. France, vol. 108, fasc. 4, 1980, p. 401-420. | Numdam | MR | Zbl

[2] Gelfond (A. O.). - Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arithmetica, vol. XIII, 1968. | MR | Zbl

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