Arithmetic properties of the Euler series / V. G. Chirskii. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 1. P. 59-61 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 41-43].

The paper presents a lower bound valid for infinitely many primes p of the p-adic valuation of the number E_p = \sum_{n=1}^\infty n!\in\mathbb{Q}_p which is an Euler-type series.

Key words: Euler-type series, p-adic valuation.

№ 1/2015