Some local-global non-vanishing results for theta lifts from orthogonal groups

DOI10.1090/S0002-9947-09-04787-4zbMath1222.11061arXivmath/0603072OpenAlexW2064724296MaRDI QIDQ3182551

Shuichiro Takeda

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603072

zbMATH Keywords

automorphic representationtheta correspondencetheta lifting

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)

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Inner product formula for Yoshida lifts, Theta lifts of Bianchi modular forms and applications to paramodularity, On Petersson norms of generic cusp forms and special values of adjoint L -functions for GSp4, A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts, Local factors of nongeneric supercuspidal representations of \(\mathrm{GSp}_4\)

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