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arXiv:2002.11417 [math.NT]AbstractReferencesReviewsResources

Two arithmetic applications of perturbations of composition operators

Sandro Bettin, Sary Drappeau

Published 2020-02-26Version 1

We estimate the spectral radius of perturbations of a particular family of composition operators, in a setting where the usual choices of norms do not account for the typical size of the perturbation. We apply this to estimate the growth rate of large moments of a Thue-Morse generating function and of the Stern sequence. This answers in particular a question of Mauduit, Montgomery and Rivat (2018).

Comments: 11 pages
Categories: math.NT, math.DS
Subjects: 47A55, 11B85
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