Jacquet-Langlands-Shimizu correspondence for theta lifts to \(\mathrm{GSp}(2)\) and its inner forms I: an explicit functorial correspondence

DOI10.2969/jmsj/06941443zbMath1440.11085OpenAlexW2767055030MaRDI QIDQ1687574

Hiro-aki Narita

Publication date: 4 January 2018

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1508918564

zbMATH Keywords

spinor \(L\)-functionstheta liftsJacquet-Langlands correspondence

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Jacquet-Langlands-Shimizu correspondence for theta lifts to \(\mathrm{GSp}(2)\) and its inner forms II: an explicit formula for Bessel periods and the non-vanishing of theta lifts ⋮ Fourier expansion of Arakawa lifting II: Relation with central L-values

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