On a theta correspondence with respect to a quadratic extension

DOI10.1006/JNTH.1999.2416zbMath0943.11025OpenAlexW2075445952MaRDI QIDQ1961087

Ze-Li Dou

Publication date: 4 September 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2416

zbMATH Keywords

Hilbert modular formstheta correspondencequaternionic automorphic forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

On adelic automorphic forms with respect to a quadratic extension ⋮ A note on a lemma of Shimura

Cites Work

• Unnamed Item
• 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. I: The case of Hecke characters
• On certain zeta functions attached to two Hilbert modular forms. II: The case of automorphic forms on a quaternion algebra
• The critical values of certain Dirichlet series attached to Hilbert modular forms
• A note on a lemma of Shimura
• On the Transformation Formulas of Theta Series
• On the Fundamental Periods of Hilbert Modular Forms
• Theta correspondence and Hecke operators relative to a quadratic extension
• On a Conjecture of Shimura Concerning Periods of Hilbert Modular Forms

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