On an unconditional spectral analog of Selberg's result on $S(t)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912058635714560 |
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| author | Sun, Qingfeng Wang, Hui |
| author_facet | Sun, Qingfeng Wang, Hui |
| contents | Let $S_j(t)=\frac{1}π\arg L(1/2+it, u_j)$, where $u_j$ is an even Hecke--Maass cusp form for $\rm SL_2(\mathbb{Z})$ with Laplacian eigenvalue $λ_j=\frac{1}{4}+t_j^2$. Without assuming the GRH, we establish an asymptotic formula for the moments of $S_j(t)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an unconditional spectral analog of Selberg's result on $S(t)$ Sun, Qingfeng Wang, Hui Number Theory Let $S_j(t)=\frac{1}π\arg L(1/2+it, u_j)$, where $u_j$ is an even Hecke--Maass cusp form for $\rm SL_2(\mathbb{Z})$ with Laplacian eigenvalue $λ_j=\frac{1}{4}+t_j^2$. Without assuming the GRH, we establish an asymptotic formula for the moments of $S_j(t)$. |
| title | On an unconditional spectral analog of Selberg's result on $S(t)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.03473 |