1. Drinfeld cusp forms: oldforms and newforms.
- Author
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Bandini, Andrea and Valentino, Maria
- Subjects
- *
CUSP forms (Mathematics) , *EIGENVALUES , *MODULAR groups - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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