随机乘性函数的矩与截断特征多项式
Moments of random multiplicative functions and truncated characteristic polynomials
摘要：
给出了乘性Steinhaus变量和的$2k$阶矩的一个渐近公式。这是最近由Harper、Nikeghbali和Radziwiwiwieti独立计算的。我们还计算了酉矩阵的截断特征多项式的$2k$阶矩。这提供了与Steinhaus变量的矩的渐近等价性。乘法Rademacher变量给出了类似的结果。
英文摘要：
We give an asymptotic formula for the $2k$th moment of a sum of multiplicative Steinhaus variables. This was recently computed independently by Harper, Nikeghbali and Radziwiłł. We also compute the $2k$th moment of a truncated characteristic polynomial of a unitary matrix. This provides an asymptotic equivalence with the moments of Steinhaus variables. Similar results for multiplicative Rademacher variables are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
