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The Minkowski function and Salemʼs problem

✍ Scribed by Giedrius Alkauskas


Book ID
116389968
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
145 KB
Volume
350
Category
Article
ISSN
1631-073X

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The Derivative of Minkowski's ?(x) Funct
✍ J. Paradı́s; P. Viader; L. Bibiloni 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 124 KB

Minkowski's ? x function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it enables us to prove that its derivative, when it exists in a wide sense, can only attain two values: zero and infinity. It is also