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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2011.01598 |
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| _version_ | 1866910167445012480 |
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| author | Bhagwat, Chandrasheel Mondal, Sudipa |
| author_facet | Bhagwat, Chandrasheel Mondal, Sudipa |
| contents | In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of ${\rm GL}_4(\mathbb A_{\mathbb Q})$ which contribute to the cuspidal cohomology of ${\rm GL}_4$ and are obtained from symmetric cube transfer of automorphic representations of ${\rm GL}_2(\mathbb A_{\mathbb Q})$ of a given weight and with varying level structure. This generalises the recent work of C. Ambi [2020] about the similar problem for ${\rm GL}_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_01598 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the growth of cuspidal cohomology of ${\rm GL}_4$ Bhagwat, Chandrasheel Mondal, Sudipa Number Theory 11F41, 11F75 In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of ${\rm GL}_4(\mathbb A_{\mathbb Q})$ which contribute to the cuspidal cohomology of ${\rm GL}_4$ and are obtained from symmetric cube transfer of automorphic representations of ${\rm GL}_2(\mathbb A_{\mathbb Q})$ of a given weight and with varying level structure. This generalises the recent work of C. Ambi [2020] about the similar problem for ${\rm GL}_3$. |
| title | On the growth of cuspidal cohomology of ${\rm GL}_4$ |
| topic | Number Theory 11F41, 11F75 |
| url | https://arxiv.org/abs/2011.01598 |