On Siegel modular forms of degree 2 with square-free level

نویسنده

  • Ralf Schmidt
چکیده

In contrast to this situation, there is currently no satisfactory theory of local newforms for the group GSp(2, F ). As a consequence, there is no analogue of Atkin–Lehner theory for Siegel modular forms of degree 2. In this paper we shall present such a theory for the “square-free” case. In the local context this means that the representations in question are assumed to have nontrivial Iwahori–invariant vectors. In the global context it means that we are considering congruence subgroups of square-free level.

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تاریخ انتشار 2003