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arXiv · 2004.00278

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

Yasuhisa Yamada
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Abstract

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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Yasuhisa Yamada. 2020-04-01. A function from Stern's diatomic sequence, and its properties. https://arxiv.org/abs/2004.00278

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