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Euler's factorial series and global relations

Published 7 Mar 2017 in math.NT and math.CA | (1703.02633v1)

Abstract: Using Pad\'e 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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