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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2004.00278 |