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arxiv: 1605.01470 · v1 · pith:4UEKOAKUnew · submitted 2016-05-05 · 🧮 math.CA

Cantor type functions in non-integer bases

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keywords cantorbasesfunctionfunctionsnon-integerarbitrarybase-changebehave
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Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behave quite differently.

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