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1 results

  • On the Siegel–Weil formula: The case of singular forms

  • Part of
  • Shunsuke Yamana
  • Journal:
    Compositio Mathematica / Volume 147 / Issue 4 / July 2011
    Published online by Cambridge University Press:
    04 May 2011, pp. 1003-1021
    Print publication:
    July 2011
    • Article
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  • For the dual pair Sp(n)×O(m) with m≤n, we prove an identity between a special value of a certain Eisenstein series and the regularized integral of a theta function. The proof uses the functional equation of the Eisenstein series and the regularized Siegel–Weil formula for Sp(n)×O(2n+2−m). Analogous results for unitary and orthogonal groups are included.