The distribution of $d_4(n)$ in arithmetic progressions
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914743535534080 |
|---|---|
| author | Parry, Tomos |
| author_facet | Parry, Tomos |
| contents | We use the Petrow-Young [10] subconvexity bound for Dirichlet $L$-functions to show that $d_4(n)$ has exponent of distribution $4/7$ when we allow an average over $a$ mod $q$, thereby giving an equidistribution result for $d_4(n)$ which goes past the $1/2$ barrier for the first time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04749 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The distribution of $d_4(n)$ in arithmetic progressions Parry, Tomos Number Theory We use the Petrow-Young [10] subconvexity bound for Dirichlet $L$-functions to show that $d_4(n)$ has exponent of distribution $4/7$ when we allow an average over $a$ mod $q$, thereby giving an equidistribution result for $d_4(n)$ which goes past the $1/2$ barrier for the first time. |
| title | The distribution of $d_4(n)$ in arithmetic progressions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.04749 |