The Generalized Oppenheim Expansions for the Direct Product of Non-Archimedean Fields / Sukharev I.Yu. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 3. P. 50-52 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

The well-known Oppenheim expansion algorithm in the field Qp is generalized to the ring Qg, where g=p1· ... ·pN. The metric properties of the digits of this expansion and also the metric properties of the coefficients of some expansions of polyadic numbers are studied.

Key words: Oppenheim expansion, p-adic numbers, polyadic numbers.

№ 3/2011