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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2303.01095 |
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| _version_ | 1866909543590526976 |
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| author | Gonçalves, Felipe de Laat, David Leijenhorst, Nando |
| author_facet | Gonçalves, Felipe de Laat, David Leijenhorst, Nando |
| contents | We give universal bounds on the fraction of nontrivial zeros having given multiplicity for L-functions attached to a cuspidal automorphic representation of $\mathrm{GL}_m/\mathbb{Q}$. For this, we apply the higher-level correlation asymptotic of Hejhal and Rudnick & Sarnak in conjunction with semidefinite programming bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multiplicity of nontrivial zeros of primitive L-functions via higher-level correlations Gonçalves, Felipe de Laat, David Leijenhorst, Nando Number Theory Optimization and Control We give universal bounds on the fraction of nontrivial zeros having given multiplicity for L-functions attached to a cuspidal automorphic representation of $\mathrm{GL}_m/\mathbb{Q}$. For this, we apply the higher-level correlation asymptotic of Hejhal and Rudnick & Sarnak in conjunction with semidefinite programming bounds. |
| title | Multiplicity of nontrivial zeros of primitive L-functions via higher-level correlations |
| topic | Number Theory Optimization and Control |
| url | https://arxiv.org/abs/2303.01095 |