Dirichlet Series and Automorphic Forms on Unitary Groups

DOI10.2307/2000293zbMath0581.10012OpenAlexW4243318849MaRDI QIDQ3703952

Tobias Orloff

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000293

zbMATH Keywords

Eisenstein seriesJacobi formsautomorphic formstheta functionsDirichlet seriesanalytic continuationintegral of Rankin typeRankin convolution of automorphic forms on unitary groups

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic functions in symmetric domains (32N15)

Cites Work

• Packets and liftings for \(\mathrm{U}(3)\)
• The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
• On the functional equations satisfied by Eisenstein series
• The special values of the zeta functions associated with Hilbert modular forms
• The arithmetic of automorphic forms with respect to a unitary group
• Arithmetic of unitary groups
• On certain square-integrable irreducible unitary representations of some p-adic linear groups
• On modular forms of half integral weight
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