Arithmetic properties of Euler series
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 59-61
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
[1] Chirskii V.G., “O globalnykh sootnosheniyakh”, Matem. zametki, 48:2 (1990), 123–127 | Zbl
[2] Bertrand D., Chirskii V., Yebbon J., “Effective estimates for global relations on Euler-type series”, Ann. Fac. Sci. Toulouse, XIII:2 (2004), 241–260 | DOI | MR | Zbl
[3] Nesterenko Yu.V., “Priblizheniya Ermita–Pade obobschennykh gipergeometricheskikh funktsii”, Matem. sb., 185:10 (1994), 39–72 | Zbl