Anagram & Information om | Engelska ordet CUSPIDAL

Exempel på hur man kan använda CUSPIDAL i en mening

• Thus for normalized cuspidal Hecke eigenforms of integer weight, their Fourier coefficients coincide with their Hecke eigenvalues.
• The current formulation of the generalized Ramanujan conjecture is for a globally generic cuspidal automorphic representation of a connected reductive group, where the generic assumption means that the representation admits a Whittaker model.
• Assuming conjectures 1 and 2 below, L-functions of irreducible cuspidal automorphic representations that satisfy the Ramanujan conjecture are primitive.
• Stephen Rallis showed a version of the global Howe duality conjecture for cuspidal automorphic representations over a global field, assuming the validity of the Howe duality conjecture for all local places.
• For the case of cusp forms, each Hecke eigenform (newform) corresponds to a cuspidal representation.
• These can be found from the cuspidal unipotent characters: those that cannot be obtained from decomposition of parabolically induced characters of smaller rank groups.
• The integral converges absolutely if one of the two forms is cuspidal; otherwise the asymptotics must be used to get a meromorphic continuation like Riemann did.
• Functoriality for the classical groups: A cuspidal globally generic automorphic representation of a classical group admits a Langlands functorial lift to an automorphic representation of GL(N), where N depends on the classical group.
• In mathematics, Eichler cohomology (also called parabolic cohomology or cuspidal cohomology) is a cohomology theory for Fuchsian groups, introduced by , that is a variation of group cohomology analogous to the image of the cohomology with compact support in the ordinary cohomology group.

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