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Let $f$ be a vector-valued Siegel modular form on an arithmetic subsgroup $\Gamma$ of $\GSp(4,\Q)$ then $f$ is called a cusp form if for any $\gamma\in \Sp(4,\Q)$, we have \[ \Phi(f\vert_{k,j}\gamma)=0 \] where $\Phi$ denotes the Siegel operator while $\vert_{k,j}$ denotes the slash operator.

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  • Review status: beta
  • Last edited by Fabien Cléry on 2021-05-07 04:30:28
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