A recursive definition of p-ary addition without carry
Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 307-315.

Soit p un nombre premier. Nous montrons dans cet article que l’addition en base p sans retenue possède une définition récursive à l’instar des cas où p=2 et p=3 qui étaient déjà connus.

Let p be a prime number. In this paper we prove that the addition in p-ary without carry admits a recursive definition like in the already known cases p=2 and p=3.

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     title = {A recursive definition of $p$-ary addition without carry},
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Laubie, François. A recursive definition of $p$-ary addition without carry. Journal de théorie des nombres de Bordeaux, Tome 11 (1999) no. 2, pp. 307-315. http://archive.numdam.org/item/JTNB_1999__11_2_307_0/

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