Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
Abstract
We find nice representatives for the 0-dimensional cusps of the degree n Siegel upper half-space under the action of 0(). To each of these we attach a Siegel Eisenstein series, and then we make explicit a result of Siegel, realizing any integral weight average Siegel theta series of arbitrary level and Dirichlet character L modulo as a linear combination of Siegel Eisenstein series.
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