Poles of p-adic Asai L-functions and distinguished representations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915711730843648 |
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| author | Loeffler, David Zerbes, Sarah Livia |
| author_facet | Loeffler, David Zerbes, Sarah Livia |
| contents | We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providing a p-adic counterpart of a well-known theorem of Flicker for the complex Asai L-function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poles of p-adic Asai L-functions and distinguished representations Loeffler, David Zerbes, Sarah Livia Number Theory Representation Theory 11F41, 11F67 We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providing a p-adic counterpart of a well-known theorem of Flicker for the complex Asai L-function. |
| title | Poles of p-adic Asai L-functions and distinguished representations |
| topic | Number Theory Representation Theory 11F41, 11F67 |
| url | https://arxiv.org/abs/2501.11472 |