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Zbl 0771.11003
Guitart, René
Euler-Jordan and Gauss functions and exponentials in Burnside semirings. (Fonctions d'Euler-Jordan et de Gauss et exponentielle dans les semi- anneaux de Burnside.) (French)
[J] Cah. Topologie Géom. Différ. Catég. 33, No.3, 253-260 (1992). ISSN 0008-0004

The author introduces a notion of internal exponentiation of isomorphic classes of objects in the topos of permutations and shows certain connections with the classical arithmetic functions of Euler, Jordan and Gauss.
[J.Sándor (Jud.Harghita)]
MSC 2000:
*11A25 Arithmetic functions, etc.
18B25 Topoi

Keywords: Euler function; Gauss function; Jordan function; exponentiation; topos of permutations; arithmetic functions

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