A function from Stern's diatomic sequence, and its properties

A function from Stern's diatomic sequence, and its properties

We define a function by refining Stern's diatomic sequence. We name it the {\it assembly function}. It is strictly increasing continuous. The first and the second main theorems are on an action to the function. The third theorem is on differentiability of the function at rational points.

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1. Verfasser: Yamada, Yasuhisa
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description We define a function by refining Stern's diatomic sequence. We name it the {\it assembly function}. It is strictly increasing continuous. The first and the second main theorems are on an action to the function. The third theorem is on differentiability of the function at rational points.
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title A function from Stern's diatomic sequence, and its properties
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