Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917746190581760 |
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| author | Balkanova, Olga |
| author_facet | Balkanova, Olga |
| contents | We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions. The resulting formula is uniform in several variables, which is crucial for proving hybrid subconvexity bounds for the L-functions under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I Balkanova, Olga Number Theory Classical Analysis and ODEs We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions. The resulting formula is uniform in several variables, which is crucial for proving hybrid subconvexity bounds for the L-functions under consideration. |
| title | Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I |
| topic | Number Theory Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2408.05615 |