On the Siegel-Weil formula for unitary groups

DOI10.1007/s00209-006-0045-8zbMath1223.11056OpenAlexW2084411493MaRDI QIDQ996016

Atsushi Ichino

Publication date: 11 September 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0045-8

zbMATH Keywords

Eisenstein seriestheta functionunitary groupdegenerate principal seriesSiegel-Weil formula

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (12)

Hodge classes and the Jacquet–Langlands correspondence ⋮ Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions ⋮ A regularized Siegel-Weil formula on \(U(1,1)\) and application to theta lifting from \(U(1)\) to \(U(1,1)\) ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ Green forms and the arithmetic Siegel-Weil formula ⋮ Automorphic forms for some even unimodular lattices ⋮ Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains ⋮ Linear forms, algebraic cycles, and derivatives of \(L\)-series ⋮ On the Siegel–Weil formula: The case of singular forms ⋮ Theta lifting for tempered representations of real unitary groups ⋮ On the Siegel-Weil formula for classical groups over function fields ⋮ On two arithmetic theta lifts

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