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arXiv · 1704.05253

Statistical distribution of the Stern sequence

Sandro Bettin·Sary Drappeau·Lukas Spiegelhofer
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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.

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Sandro Bettin, Sary Drappeau, Lukas Spiegelhofer. 2017-04-18. Statistical distribution of the Stern sequence. https://doi.org/10.4171/cmh/460

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