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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) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe201901182499 |
| Language: | English |
| Published: |
Elsevier,
2018
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| Publish Date: | 2019-01-18 |
| Description: |
AbstractUsing 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. see all
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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 |
| OADOI: | https://oadoi.org/10.1016/j.jnt.2017.09.026 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license. http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |