Tapani Matala-aho

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20132026

most citedEuler's factorial series and global relations

18 citations · 31 across the 12 of their papers we have counts for

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Showing 2017 · math.NTShow all

2 papers · 2 filters

math.NT2017★ 3 cited

On Mahler's transcendence measure for $e$

Anne-Maria Ernvall-Hytönen, Tapani Matala-aho, Louna Seppälä

We present a completely explicit transcendence measure for $e$ . This is a continuation and an improvement to the works of Borel, Mahler and Hata on the topic. Furthermore, we also…

math.NT2017★ 18 cited

Euler's factorial series and global relations

Tapani Matala-aho, Wadim Zudilin

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 val…

On Mahler's transcendence measure for e

Euler's factorial series and global relations

On Mahler's transcendence measure for $e$