JournalscmhVol. 94, No. 2pp. 241–271

Statistical distribution of the Stern sequence

  • Sandro Bettin

    Università di Genova, Italy

  • Sary Drappeau

    Aix-Marseille Université, Marseille, France

  • Lukas Spiegelhofer

    Technische Universität Wien, Austria
Statistical distribution of the Stern sequence cover

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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.

Cite this article

Sandro Bettin, Sary Drappeau, Lukas Spiegelhofer, Statistical distribution of the Stern sequence. Comment. Math. Helv. 94 (2019), no. 2, pp. 241–271

DOI 10.4171/CMH/460