We study a residual form of a real analytic SiegelEisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit formulas as our results. We apply them to prove meromorphic continuations together with functional equations which are satisfied by those twisted Mellin transforms.
- Confluent hypergeometric functions on tube domains
- Dirichlet series
- Mellin transforms
- Residues of siegeleisenstein series
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