Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915895834574848 |
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| author | Jin, Yubo Li, Jian-Shu Liu, Dongwen Sun, Binyong |
| author_facet | Jin, Yubo Li, Jian-Shu Liu, Dongwen Sun, Binyong |
| contents | In this paper, we study the special values of Rankin-Selberg L-functions as a continuation of [LLS24]. Utilizing the modular symbol approach, we prove the rationality and period relations for some critical values of Rankin-Selberg L-functions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ over any number field that contains a CM field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ Jin, Yubo Li, Jian-Shu Liu, Dongwen Sun, Binyong Number Theory Representation Theory In this paper, we study the special values of Rankin-Selberg L-functions as a continuation of [LLS24]. Utilizing the modular symbol approach, we prove the rationality and period relations for some critical values of Rankin-Selberg L-functions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ over any number field that contains a CM field. |
| title | Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2506.20942 |