Article
| Title: | On certain $GL(6)$ form and its Rankin-Selberg convolution (English) |
| Author: | Kaur, Amrinder |
| Author: | Sankaranarayanan, Ayyadurai |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 2 |
| Year: | 2024 |
| Pages: | 415-427 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider $L_G(s)$ to be the $L$-function attached to a particular automorphic form $G$ on $GL(6)$. We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$-function $L_{G \times G}(s)$. As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_{G \times G}(s)$. (English) |
| Keyword: | Maass form |
| Keyword: | automorphic form |
| Keyword: | Rankin-Selberg convolution |
| MSC: | 11F12 |
| MSC: | 11F30 |
| MSC: | 11N75 |
| DOI: | 10.21136/CMJ.2024.0355-23 |
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| Date available: | 2024-07-10T14:51:32Z |
| Last updated: | 2024-07-15 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152449 |
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