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Statistical distribution of the Stern sequence

Authors :
Bettin, Sandro
Drappeau, Sary
Spiegelhofer, Lukas
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