Period Relations for Standard $L$-functions of Symplectic Type
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866909090352988160 |
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| author | Jiang, Dihua Sun, Binyong Tian, Fangyang |
| author_facet | Jiang, Dihua Sun, Binyong Tian, Fangyang |
| contents | This article is to understand the critical values of $L$-functions $L(s,Π\otimes χ)$ and to establish the relation of the relevant global periods at the critical places. Here $Π$ is an irreducible regular algebraic cuspidal automorphic representation of $\mathrm{GL}_{2n}(\mathbb A)$ of symplectic type and $χ$ is a finite order automorphic character of $\mathrm{GL}_1(\mathbb A)$, with $\mathbb A$ is the ring of adeles of a number field $\mathrm k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_03476 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Period Relations for Standard $L$-functions of Symplectic Type Jiang, Dihua Sun, Binyong Tian, Fangyang Number Theory Representation Theory 22E45, 11F67 This article is to understand the critical values of $L$-functions $L(s,Π\otimes χ)$ and to establish the relation of the relevant global periods at the critical places. Here $Π$ is an irreducible regular algebraic cuspidal automorphic representation of $\mathrm{GL}_{2n}(\mathbb A)$ of symplectic type and $χ$ is a finite order automorphic character of $\mathrm{GL}_1(\mathbb A)$, with $\mathbb A$ is the ring of adeles of a number field $\mathrm k$. |
| title | Period Relations for Standard $L$-functions of Symplectic Type |
| topic | Number Theory Representation Theory 22E45, 11F67 |
| url | https://arxiv.org/abs/1909.03476 |