Moments and joint nonvanishing of symplectic $L$-functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914500878270464 |
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| author | Blomer, Valentin Das, Soumya |
| author_facet | Blomer, Valentin Das, Soumya |
| contents | We compute an asymptotic formula for a moment involving the spinor and the standard $L$-functions for holomorphic Siegel cusp forms of degree two and large weight $k$. Applications include simultaneous non-vanishing statements and lower bounds for second moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21195 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moments and joint nonvanishing of symplectic $L$-functions Blomer, Valentin Das, Soumya Number Theory 11F46, 11F66, 11F72 We compute an asymptotic formula for a moment involving the spinor and the standard $L$-functions for holomorphic Siegel cusp forms of degree two and large weight $k$. Applications include simultaneous non-vanishing statements and lower bounds for second moments. |
| title | Moments and joint nonvanishing of symplectic $L$-functions |
| topic | Number Theory 11F46, 11F66, 11F72 |
| url | https://arxiv.org/abs/2604.21195 |