Some local-global non-vanishing results of theta lifts for symplectic-orthogonal dual pairs

DOI10.1515/CRELLE.2011.053zbMath1268.22020arXiv0810.2990OpenAlexW2964053313MaRDI QIDQ3091596

Shuichiro Takeda

Publication date: 9 September 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/0810.2990

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 (6)

Inner product formula for Yoshida lifts ⋮ Theta lifts of Bianchi modular forms and applications to paramodularity ⋮ Explicit inner product formulas and Bessel period formulas for HST lifts ⋮ A remark on the failure of multiplicity one for \(\mathrm{GSp}(4)\) ⋮ Descending congruences of theta lifts on \(\mathrm{GSp}_{4}\) ⋮ \(L\)-functions and theta correspondence for classical groups

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