Louna Seppälä

most citedOn Mahler's transcendence measure for

e

3 citations · 3 across the 2 of their papers we have counts for

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math.NT2021

Euler's factorial series, Hardy integral, and continued fractions

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

We study $p$ -adic Euler's series $E_{p} (t) = \sum_{k = 0}^{\infty} k! t^{k}$ at a point $p^{a}$ , $a \in Z_{\geq 1}$ , and use Padé approximations to prove a lower bound for the $p$ -ad…

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…