A Simple Case of Siegel-Weil Formula
نویسنده
چکیده
• The theta correspondence 1 is a correspondence between automorphic forms on two members of a dual reductive pair. Because of the relation between automorphic forms and automor-phic representations, it is also a correspondence between automorphic representations. The Siegel-Weil formula says that certain natural linear combinations of theta lifts are Siegel-type holomorphic Eisenstein Series.
منابع مشابه
Proof of a simple case of the Siegel-Weil formula
On the other hand, while current technique is arguably much more sophisticated, the questions addressed are commensurately more complicated, so that simplification of a proof of a basic Siegel-Weil formula may get lost in more difficult issues. For example, the work of Kudla-Rallis on regularization addresses much more delicate questions than the simple equality of holomorphic Eisenstein series...
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