V. G. Chirskii, “Arithmetic properties of polyadic series with periodic coefficients”, Izv. RAN. Ser. Mat., 2017, Volume 81, Issue 2,Pages <nobr>215

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Arithmetic properties of polyadic series with periodic coefficients

V. G. Chirskii

Lomonosov Moscow State University

Abstract: We study arithmetic properties of polyadic numbers, that is, series of the form
$$ \sum_{n=0}^\infty a_n n!, $$
where the numbers $a_n\in\mathbb Z$ form a periodic sequence $\{a_n\}$.

Keywords: periodic sequence, transcendence, polyadic numbers.

UDC: 511.36

MSC: Primary 11J91; Secondary 11J61

Received: 26.06.2015
Revised: 27.02.2016

DOI: 10.4213/im8421