Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910895867691008 |
|---|---|
| author | Hou, Fei |
| author_facet | Hou, Fei |
| contents | Let $P,M$ be a two primes such that $(P,M)=1$. Let $Π$ be a normalized Hecke-Maaß form on ${\rm{GL}}(4)$ of level $P$, and $χ$ a primitive Dirichlet character modulo $M$. In this paper, we study the hybrid subconvexity problem for $L(s, Π\otimes χ)$ simultaneously in the level and conductor aspects. Among other things, we prove a hybrid subconvex bound, so long as $M^{1/5}<P<M^{2/5}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15801 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Hou, Fei Number Theory 11F67, 11F66, 11L05 Let $P,M$ be a two primes such that $(P,M)=1$. Let $Π$ be a normalized Hecke-Maaß form on ${\rm{GL}}(4)$ of level $P$, and $χ$ a primitive Dirichlet character modulo $M$. In this paper, we study the hybrid subconvexity problem for $L(s, Π\otimes χ)$ simultaneously in the level and conductor aspects. Among other things, we prove a hybrid subconvex bound, so long as $M^{1/5}<P<M^{2/5}$. |
| title | Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions |
| topic | Number Theory 11F67, 11F66, 11L05 |
| url | https://arxiv.org/abs/2501.15801 |