Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866908757509799936 |
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| author | Wei, Fu-Tsun |
| author_facet | Wei, Fu-Tsun |
| contents | The aim of this paper is to determine all algebraic relations among various special gamma values over function fields, and prove a Chowla-Selberg-type formula for quasi-periods of CM abelian $t$-modules. Our results are based on the intrinsic relations between gamma values in question and periods of CM dual $t$-motives, which are interpreted in terms of their "distributions". This also enables us to derive an analogue of the Deligne-Gross period conjecture for CM Hodge-Pink structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_01165 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields Wei, Fu-Tsun Number Theory 11J93, 11G09 The aim of this paper is to determine all algebraic relations among various special gamma values over function fields, and prove a Chowla-Selberg-type formula for quasi-periods of CM abelian $t$-modules. Our results are based on the intrinsic relations between gamma values in question and periods of CM dual $t$-motives, which are interpreted in terms of their "distributions". This also enables us to derive an analogue of the Deligne-Gross period conjecture for CM Hodge-Pink structures. |
| title | Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields |
| topic | Number Theory 11J93, 11G09 |
| url | https://arxiv.org/abs/2207.01165 |