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Statistical distribution of the Stern sequence
- Source :
- Comment. Math. Helv., 94 (2019), no. 2, pp. 241-271
- Publication Year :
- 2017
-
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.<br />Comment: 13 pages
Details
- Database :
- arXiv
- Journal :
- Comment. Math. Helv., 94 (2019), no. 2, pp. 241-271
- Publication Type :
- Report
- Accession number :
- edsarx.1704.05253
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.4171/CMH/460