Geodesic
Arithmetic properties of polyadic integers
Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 254-264.

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Arithmetic properties of series of the form $$\sum_{n=0}^\infty a_{n}\cdot n!$$ with $a_n\in\mathbb Z$ are studied. The concept of infinite algebraic independence polyadic numbers. A theorem on the algebraic independence polyadic infinite number of class $ F\left(\mathbb {Q}, C_1, C_2, C_3, d_ {0} \right) $, if they are connected by a system of linear differential equations of a certain kind. Bibliography: 9 titles.
Keywords: polyadic numbers, transcendence. 
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V. G. Chirskii. Arithmetic properties of polyadic integers. Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 254-264. http://geodesic.mathdoc.fr/item/CHEB_2015_16_1_a14/

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