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Paper detail

Two arithmetic applications of perturbations of composition operators

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).

preprint2020arXivOpen access
Sandro BettinSary Drappeau
math.DSmath.NT
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Sandro BettinSary Drappeau

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