Louna Seppälä

collaborators

2 papers

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

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…

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

On Mahler's transcendence measure for e

On Mahler's transcendence measure for $e$