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arXiv · 1703.02633

Euler's factorial series and global relations

Tapani Matala-aho·Wadim Zudilin
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Abstract

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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Tapani Matala-aho, Wadim Zudilin. 2017-03-07. Euler's factorial series and global relations. https://doi.org/10.1016/j.jnt.2017.09.026

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