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Definition: An automorphic form \(f\) on \(G\) is called a cusp form if, for any parabolic \(k\) subgroup \(P=M N\) of \(G\), the \(N\)-constant term \begin{align*} f_{N}(g)=\int_{N(k) \backslash N(\mathbb{A})} f(n g) d n \end{align*} is zero as a function on \(G(\mathbb{A})\).