On Selberg Central Limit Theorem III: Rate of ConvergenceOn Selberg Central Limit Theorem III: Rate of Convergence
- 講者Speaker
- 許柏翰 (Po-Han Hsu)
- 單位Affiliation
- 國立中山大學National Sun Yat-Sen University
- 日期Date
- 2026 年 11 月 2 日（星期一）Monday, November 2, 2026
- 地點Venue
- 台大數學系天文數學館 302 室R302, Astro-Math Building, NTU
演講摘要Abstract
This is the third and last talk of this series. In the first talk, we discussed about the (1-dimensional) Selberg central limit theorem, and then we discussed its multi-dimensional variant in the second talk. In these works, the main probabilistic techniques are method of moments and Cramer-Wold devices, and therefore we lost track of its rate of convergence. In light of this issue, in the third talk, we will focus on the study of rate of convergence of the Selberg central limit theorem.
Still, we will emphasize the probabilistic aspect of this work and avoid non-probabilistic technologies. We will also review essential contents from previous talks; therefore, audiences who missed the previous talks are also welcome. Lastly, this talk is based on a joint work with Peng-Jie Wong: "On Rate of Convergence in Central Limit Theorem of Selberg and Bourgade" (https://doi.org/10.48550/arXiv.2601.02781).