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The many faces of the Kempner number. (English) Zbl 1286.11109

In this survey the author shows several methods to prove that the Kempner’s number \(\sum_{n=1}^\infty 2^{-2^n}\) is transcendental. Each method is accompanied with some interesting comments.

MSC:

11J81 Transcendence (general theory)
11J87 Schmidt Subspace Theorem and applications
11J70 Continued fractions and generalizations

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