Theta correspondence and simple factors in global Arthur parameters

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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Poles of certain residual Eisenstein series of classical groups
Arithmetic theta lifting and \(L\)-derivatives for unitary groups. I
Arithmetic theta lifting and \(L\)-derivatives for unitary groups. II
The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
Irreducibility of theta lifting for unitary groups
On \((\chi , b)\)-factors of cuspidal automorphic representations of unitary groups. I.
On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
Splitting metaplectic covers of dual reductive pairs
The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\)
Periods and \((\chi, b)\)-factors of cuspidal automorphic forms of symplectic groups
Poles of Eisenstein series and theta lifts for unitary groups
Periods and \((\chi,b)\)-factors of cuspidal automorphic forms of metaplectic groups
\(L\)-functions and theta correspondence for classical groups
Fourier coefficients and cuspidal spectrum for symplectic groups
A critical case of Rallis inner product formula
Sur certains groupes d'opérateurs unitaires
Rankin-Selberg Convolutions
Poles ofL-functions and theta liftings for orthogonal groups
Transcending Classical Invariant Theory
On nonvanishing of 𝐿-functions
Some results on reducibilty for unitary groups and local Asai L-functions.
On the local Langlands correspondence and Arthur conjecture for even orthogonal groups
Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
Endoscopic Classification of representations of Quasi-Split Unitary Groups
Conservation relations for local theta correspondence
Modular Forms and Special Cycles on Shimura Curves. (AM-161)
Theta dichotomy for unitary groups

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