From BCZ map to a discretized analog of the RH
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917712248176640 |
|---|---|
| author | Li, Yiming |
| author_facet | Li, Yiming |
| contents | We investigate the properties of the BCZ map. Based on our findings, we define the moduli space associated with its excursions. Subsequently, we utilize the framework we build to establish a discretized analog of the Riemann hypothesis (RH) that holds in a stronger sense from a dynamical perspective. The analog is founded upon a reformulation of the RH, specifically in terms of estimates of L1-averages of BCZ cocycle along periodic orbits of the BCZ map. The primary tool we will rely on is the generalized arithmetic sequence, which we will define and discuss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03099 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From BCZ map to a discretized analog of the RH Li, Yiming General Mathematics We investigate the properties of the BCZ map. Based on our findings, we define the moduli space associated with its excursions. Subsequently, we utilize the framework we build to establish a discretized analog of the Riemann hypothesis (RH) that holds in a stronger sense from a dynamical perspective. The analog is founded upon a reformulation of the RH, specifically in terms of estimates of L1-averages of BCZ cocycle along periodic orbits of the BCZ map. The primary tool we will rely on is the generalized arithmetic sequence, which we will define and discuss. |
| title | From BCZ map to a discretized analog of the RH |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2407.03099 |