The Many Faces of the Kempner Number
CNRS, Université de Lyon, Université Lyon 1
Institut Camille Jordan
43 boulevard du 11 novembre 1918
69622 Villeurbanne Cedex
In this survey, we present five different proofs for the transcendence
of Kempner's number, defined by the infinite series
Σn ≥ 0 1/22n.
We take the opportunity to mention some interesting ideas and
methods that are used for proving deeper results. We outline proofs for
some of these results and also point out references where the reader
can find all the details.
Full version: pdf,
(Concerned with sequences
Received September 30 2012;
revised version received January 13 2013.
Published in Journal of Integer Sequences, March 2 2013.
Journal of Integer Sequences home page