A note on a lemma of Shimura
DOI10.1090/S0002-9939-02-06652-2zbMath1022.11021OpenAlexW1551805537WikidataQ125055270 ScholiaQ125055270MaRDI QIDQ3151181
Publication date: 7 October 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06652-2
periods of automorphic formsconvolution integralShimura lifttheta correspondencequaternionic automorphic forms
Other groups and their modular and automorphic forms (several variables) (11F55) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
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Cites Work
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- On the fundamental periods of automorphic forms of arithmetic type
- On the critical values of certain Dirichlet series and the periods of automorphic forms
- The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
- On certain zeta functions attached to two Hilbert modular forms. II: The case of automorphic forms on a quaternion algebra
- On a theta correspondence with respect to a quadratic extension
- On the Fundamental Periods of Hilbert Modular Forms
- Theta correspondence and Hecke operators relative to a quadratic extension
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