Non-cuspidal Bianchi modular forms and Katz $p$-adic $L$-functions
| Autor: | Palacios, Luis Santiago |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $K$ be an imaginary quadratic field. In this article, we construct $p$-adic $L$-functions of non-cuspidal Bianchi modular forms by introducing the notions of $C$-cuspidality and partial Bianchi modular symbols. When $p$ splits in $K$, we deepen in the construction of $p$-adic $L$-functions of non-cuspidal base change Bianchi modular forms, showing that they factor as products of two Katz $p$-adic $L$-functions. Comment: 25 pages. Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
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