On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups

DOI10.1515/CRELLE.2011.076zbMath1291.11083arXiv0902.0419OpenAlexW2963574633MaRDI QIDQ3096800

Gan, Wee Teck, Shuichiro Takeda

Publication date: 14 November 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0419

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

A weak second term identity of the regularized Siegel-Weil formula for unitary groups, A new proof to the period problems of \(\mathrm{GL}(2)\), Constant terms of spherical Eisenstein series on quasi-split unitary groups, The local Langlands conjecture for \(\text{GSp}(4)\), The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula, \(L\)-functions and theta correspondence for classical groups, The Hodge conjecture and arithmetic quotients of complex balls, Fourier expansion of Arakawa lifting. I: An explicit formula and examples of non-vanishing lifts, Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture, On the Siegel-Weil formula for classical groups over function fields

Cites Work

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