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Statistical distribution of the Stern sequence
Commentarii Mathematici Helvetici ( IF 1.1 ) Pub Date : 2019-04-17 , DOI: 10.4171/cmh/460 Sandro Bettin 1 , Sary Drappeau 2 , Lukas Spiegelhofer 3
Commentarii Mathematici Helvetici ( IF 1.1 ) Pub Date : 2019-04-17 , DOI: 10.4171/cmh/460 Sandro Bettin 1 , Sary Drappeau 2 , Lukas Spiegelhofer 3
Affiliation
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.
中文翻译:
Stern 序列的统计分布
我们证明 Stern 双原子序列在对数尺度上根据正态定律渐近分布。这是通过研究复矩和传递算子的解析特性获得的。
更新日期:2019-04-17
中文翻译:
Stern 序列的统计分布
我们证明 Stern 双原子序列在对数尺度上根据正态定律渐近分布。这是通过研究复矩和传递算子的解析特性获得的。