On the Artin formalism for triple product $p$-adic $L$-functions
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913644385665024 |
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| author | Büyükboduk, Kâzım Sakamoto, Ryotaro |
| author_facet | Büyükboduk, Kâzım Sakamoto, Ryotaro |
| contents | Our main objective in the present article is to study the factorization problem for triple-product $p$-adic $L$-functions, particularly in the scenarios when the defining properties of the $p$-adic $L$-functions involved have no bearing on this problem, although Artin formalism would suggest such a factorization. Our analysis, which is guided by the ETNC philosophy, recasts this problem as a comparison of diagonal cycles, Beilinson--Kato elements, and Heegner cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06541 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Artin formalism for triple product $p$-adic $L$-functions Büyükboduk, Kâzım Sakamoto, Ryotaro Number Theory Primary 11F66, 11F67, 11F33, Secondary 11F85, 11G18, 14F30 Our main objective in the present article is to study the factorization problem for triple-product $p$-adic $L$-functions, particularly in the scenarios when the defining properties of the $p$-adic $L$-functions involved have no bearing on this problem, although Artin formalism would suggest such a factorization. Our analysis, which is guided by the ETNC philosophy, recasts this problem as a comparison of diagonal cycles, Beilinson--Kato elements, and Heegner cycles. |
| title | On the Artin formalism for triple product $p$-adic $L$-functions |
| topic | Number Theory Primary 11F66, 11F67, 11F33, Secondary 11F85, 11G18, 14F30 |
| url | https://arxiv.org/abs/2501.06541 |