We study the Atkin Ut operator for Drinfeld cusp forms. In particular, we define newforms and oldforms of level Γ0(t) and we study basic properties of their slopes. Moreover, we find an explicit formula for the matrix associated to the action of Ut on Γ1(t)-invariant cusp forms using Teitelbaum’s interpretation as harmonic cocycles.
On the Atkin U_T-operator for Γ_0(T)-invariant drinfeld cusp forms
Bandini A.;
2019-01-01
Abstract
We study the Atkin Ut operator for Drinfeld cusp forms. In particular, we define newforms and oldforms of level Γ0(t) and we study basic properties of their slopes. Moreover, we find an explicit formula for the matrix associated to the action of Ut on Γ1(t)-invariant cusp forms using Teitelbaum’s interpretation as harmonic cocycles.File in questo prodotto:
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