The Siegel identity is a mathematical identity related to quadratic forms and the theory of modular forms in number theory. It is named after Carl Ludwig Siegel, who contributed significantly to the field. In general, the Siegel identity expresses a relationship between the values of certain quadratic forms evaluated at integer points and the values of these forms evaluated at their associated characters or modular forms. It can be considered a specific case of more general identities found within the framework of representation theory and arithmetic geometry.
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