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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2105.05570 |
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| _version_ | 1866910649564528640 |
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| author | Mine, Masahiro |
| author_facet | Mine, Masahiro |
| contents | We study the distribution of values of automorphic $L$-functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_05570 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Large deviations for values of $L$-functions attached to cusp forms in the level aspect Mine, Masahiro Number Theory Probability Primary 11F66, Secondary 60F10 We study the distribution of values of automorphic $L$-functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of $L$-functions. |
| title | Large deviations for values of $L$-functions attached to cusp forms in the level aspect |
| topic | Number Theory Probability Primary 11F66, Secondary 60F10 |
| url | https://arxiv.org/abs/2105.05570 |