论文标题
组成操作员扰动的两个算术应用
Two arithmetic applications of perturbations of composition operators
论文作者
论文摘要
我们估计了特定组成算子家族扰动的光谱半径，在这种情况下，规范的通常选择不能解释扰动的典型大小。我们将其应用于估计thue-morse生成函数和严厉序列的大量矩的生长速率。这尤其回答了Mauduit，Montgomery和Rivat（2018）的问题。
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).
