Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2211.15165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914059390025728 |
|---|---|
| author | Inoue, Shōta Li, Junxian |
| author_facet | Inoue, Shōta Li, Junxian |
| contents | We consider the joint value distribution of Dirichlet $L$-functions in the critical strip $\frac{1}{2} < σ< 1$. We show that the values of distinct Dirichlet $L$-functions are dependent in the sense that they do not behave like independently distributed random variables and they prevent each other from obtaining large values. Nevertheless, we show that distinct Dirichlet $L$-functions can achieve large values simultaneously infinitely often. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15165 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Simultaneous large values and dependence of Dirichlet $L$-functions in the critical strip Inoue, Shōta Li, Junxian Number Theory Probability 11M06, 60B12 We consider the joint value distribution of Dirichlet $L$-functions in the critical strip $\frac{1}{2} < σ< 1$. We show that the values of distinct Dirichlet $L$-functions are dependent in the sense that they do not behave like independently distributed random variables and they prevent each other from obtaining large values. Nevertheless, we show that distinct Dirichlet $L$-functions can achieve large values simultaneously infinitely often. |
| title | Simultaneous large values and dependence of Dirichlet $L$-functions in the critical strip |
| topic | Number Theory Probability 11M06, 60B12 |
| url | https://arxiv.org/abs/2211.15165 |