On the invariants of L-functions of degree 2, I: twisted degree and internal shift
| Autor: | Kaczorowski, J., Perelli, A. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | This is the first part of a series of papers where the behaviour of the invariants under twist by Dirichlet characters is studied for $L$-functions of degree 2. Here we show, under suitable conditions, that degree and internal shift remain unchanged under twist. The ultimate goal of the series is to prove a general version of Weil converse theorem with minimal assumptions on the shape of the functional equation of the twists. Comment: 11 pages |
| Databáze: | arXiv |
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