The Many Faces of the Kempner Number
نویسنده
چکیده
In this survey, we present five different proofs for the transcendence of Kempner’s number, defined by the infinite series ∑∞ n=0 1 22 n . 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. À Jean-Paul Allouche, pour son soixantième anniversaire. Le seul véritable voyage, le seul bain de Jouvence, ce ne serait pas d’aller vers de nouveaux paysages, mais d’avoir d’autres yeux... Marcel Proust, À la recherche du temps perdu
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