A function from Stern's diatomic sequence, and its properties
Number Theory
2020-04-02 v1 Functional Analysis
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.
Cite
@article{arxiv.2004.00278,
title = {A function from Stern's diatomic sequence, and its properties},
author = {Yasuhisa Yamada},
journal= {arXiv preprint arXiv:2004.00278},
year = {2020}
}