Drinfeld cusp forms: oldforms and newforms
| Autor: | Maria Valentino, Andrea Bandini |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Cusp (singularity)
Pure mathematics Algebra and Number Theory Direct sum Mathematics::Number Theory Operator (physics) 010102 general mathematics 010103 numerical & computational mathematics Space (mathematics) 01 natural sciences Linear subspace Prime (order theory) Modular group Ideal (ring theory) 0101 mathematics Mathematics |
| Zdroj: | Journal of Number Theory. 237:124-144 |
| ISSN: | 0022-314X |
| Popis: | Let p = ( P ) be any prime of F q [ t ] , let m be any ideal of F q [ t ] not divisible by p and consider the space of Drinfeld cusp forms of level m p , i.e. for the modular group Γ 0 ( m p ) . Using degeneracy maps, traces and Fricke involutions we offer definitions for p -oldforms and p -newforms which turn out to be subspaces stable with respect to the action of the Atkin operator U P . We provide eigenvalues and/or slopes for p -oldforms and p -newforms and a condition to get the whole space of cusp forms as the direct sum between them. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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