Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups
Copyright policy )Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups
We study the structures of Fourier coefficients of automorphic forms on symplectic groups based on their local and global structures related to Arthur parameters. This is a first step towards the general conjecture on the relation between the structure of Fourier coefficients and Arthur parameters for automorphic forms occurring in the discrete spectrum, given by the first named author.
- University of Utah United States
- University of Minnesota-Twin Cities United States
- University of Minnesota Morris United States
Primary 11F70, 22E50, Secondary 11F85, 22E55, Mathematics - Number Theory, unipotent orbits, Arthur parameters, Fourier coefficients, Representations of Lie and linear algebraic groups over global fields and adèle rings, automorphic forms, Representations of Lie and linear algebraic groups over local fields, \(p\)-adic theory, local fields, Representation-theoretic methods; automorphic representations over local and global fields, FOS: Mathematics, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory
Primary 11F70, 22E50, Secondary 11F85, 22E55, Mathematics - Number Theory, unipotent orbits, Arthur parameters, Fourier coefficients, Representations of Lie and linear algebraic groups over global fields and adèle rings, automorphic forms, Representations of Lie and linear algebraic groups over local fields, \(p\)-adic theory, local fields, Representation-theoretic methods; automorphic representations over local and global fields, FOS: Mathematics, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory
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