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Archimedean zeta integrals on \(U(n,1)\)

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Publication:739274
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DOI10.1016/j.jnt.2016.05.009zbMath1345.22007arXiv1601.06511OpenAlexW2962784368MaRDI QIDQ739274

Bingchen Lin, Dongwen Liu

Publication date: 18 August 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06511

zbMATH Keywords

discrete serieszeta integraltheta liftingjoint harmonic


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)




Cites Work

  • Unnamed Item
  • Theta lifting for unitary representations with nonzero cohomology
  • Discrete series for semisimple symmetric spaces
  • Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
  • Howe correspondence for real unitary groups
  • Archimedean zeta integrals on \(U(2,1)\)
  • Transcending Classical Invariant Theory
  • Values of Archimedean Zeta Integrals for Unitary Groups
  • Harmonic Analysis in Phase Space. (AM-122)
  • Non-vanishing theorems for the cohomology of certain arithmetic quotients.
  • COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS
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