On Mahler’s transcendence measure for <em>e</em>

Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna (2018-04-09)
 
Avaa tiedosto
Lataukset: 

URL:
https://doi.org/10.1007/s00365-018-9429-3

Ernvall-Hytönen, Anne-Maria
Matala-aho, Tapani
Seppälä, Louna
Springer Nature
09.04.2018

Ernvall-Hytönen, A., Matala-aho, T. & Seppälä, L. On Mahler’s Transcendence Measure for e. Constr Approx 49, 405–444 (2019). https://doi.org/10.1007/s00365-018-9429-3

https://rightsstatements.org/vocab/InC/1.0/
© Springer Science+Business Media, LLC, part of Springer Nature 2018. his is a post-peer-review, pre-copyedit version of an article published in Constr Approx. The final authenticated version is available online at https://doi.org/10.1007/s00365-018-9429-3.
https://rightsstatements.org/vocab/InC/1.0/
doi:https://doi.org/10.1007/s00365-018-9429-3
Näytä kaikki kuvailutiedot
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe202003097690
Tiivistelmä

Abstract

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 prove a transcendence measure for an arbitrary positive integer power of e. The results are based on Hermite–Padé approximations and on careful analysis of common factors in the footsteps of Hata.

Kokoelmat