University of Oulu

Matala-aho, T., Zudilin, W. (2018) Euler’s factorial series and global relations. Journal of Number Theory, 186, 202-210. doi:10.1016/j.jnt.2017.09.026

Euler's factorial series and global relations

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Author: Matala-aho, Tapani1; Zudilin, Wadim2,3
Organizations: 1Matematiikka, Oulun yliopisto
2Institute for Mathematics, Astrophysics and Particle Physics, Radboud Universiteit
3School of Mathematical and Physical Sciences, The University of Newcastle
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 1.4 MB)
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Language: English
Published: Elsevier, 2018
Publish Date: 2019-01-18


Using Padé approximations to the series \(E(z) = \sum_{k = 0}^{\infty}k!(-z)^k \), we address arithmetic and analytical questions related to its values in both p-adic and Archimedean valuations.

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Series: Journal of number theory
ISSN: 0022-314X
ISSN-E: 1096-1658
ISSN-L: 0022-314X
Volume: 186
Pages: 202 - 210
DOI: 10.1016/j.jnt.2017.09.026
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
Copyright information: © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license.