Statistical distribution of the Stern sequence
Number Theory
2019-05-07 v2 Dynamical Systems
Abstract
We prove that the Stern diatomic sequence is asymptotically distributed according to a normal law, on a logarithmic scale. This is obtained by studying complex moments, and the analytic properties of a transfer operator.
Cite
@article{arxiv.1704.05253,
title = {Statistical distribution of the Stern sequence},
author = {Sandro Bettin and Sary Drappeau and Lukas Spiegelhofer},
journal= {arXiv preprint arXiv:1704.05253},
year = {2019}
}
Comments
13 pages