Local integral transforms and global spectral decomposition
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912585108946944 |
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| author | Blomer, Valentin Jana, Subhajit Nelson, Paul D. |
| author_facet | Blomer, Valentin Jana, Subhajit Nelson, Paul D. |
| contents | We establish an explicit global spectral decomposition of shifted convolution sums and the second moment of automorphic $L$-functions for Maass forms with explicit integral transforms as well as explicit inversion formulae over every local field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10692 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local integral transforms and global spectral decomposition Blomer, Valentin Jana, Subhajit Nelson, Paul D. Number Theory We establish an explicit global spectral decomposition of shifted convolution sums and the second moment of automorphic $L$-functions for Maass forms with explicit integral transforms as well as explicit inversion formulae over every local field. |
| title | Local integral transforms and global spectral decomposition |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.10692 |