Congruences for the ratios of Rankin--Selberg $L$-functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910048919224320 |
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| author | Narayanan, P. Raghuram, A. |
| author_facet | Narayanan, P. Raghuram, A. |
| contents | A well-known principle states that a congruence between objects should give rise to a corresponding congruence between the special values of $L$-functions attached to these objects. We computationally investigate this principle for Rankin--Selberg $L$-functions attached to pairs of holomorphic cuspforms, and formulate a precise conjecture in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Congruences for the ratios of Rankin--Selberg $L$-functions Narayanan, P. Raghuram, A. Number Theory 11F33, 11F30, 11F67 A well-known principle states that a congruence between objects should give rise to a corresponding congruence between the special values of $L$-functions attached to these objects. We computationally investigate this principle for Rankin--Selberg $L$-functions attached to pairs of holomorphic cuspforms, and formulate a precise conjecture in general. |
| title | Congruences for the ratios of Rankin--Selberg $L$-functions |
| topic | Number Theory 11F33, 11F30, 11F67 |
| url | https://arxiv.org/abs/2512.02919 |