COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS

DOI10.1142/9789812770790_0005zbMath1390.11088OpenAlexW2482413866MaRDI QIDQ4569256

Michael Harris

Publication date: 28 June 2018

Published in: Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812770790_0005

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Cohomology of arithmetic groups (11F75)

Related Items (11)

Periods of automorphic forms, poles of \(L\)-functions and functorial lifting ⋮ A \(p\)-adic arithmetic inner product formula ⋮ WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS ⋮ Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups ⋮ Shimura Varieties for Unitary Groups and the Doubling Method ⋮ Archimedean zeta integrals on \(U(n,1)\) ⋮ A note on the local theta correspondence for unitary similitude dual pairs ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ Nearly overconvergent Siegel modular forms ⋮ Archimedean zeta integrals on \(U(2,1)\) ⋮ Conservation relations for local theta correspondence

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