Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments (CROSBI ID 192950)
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Grbac, Neven ; Schwermer, Joachim
engleski
Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments
In the paper is shown that non–trivial Eisenstein cohomology classes of a reductive group defined over the field of rational numbers can only arise if the point of evaluation features a ’half– integral’ property. As a consequence, this implies that only the analytic behavior of the automorphic L–functions at half–integral arguments matters whether an Eisenstein series attached to a globally generic representation gives rise to a residual class or not.
Reductive groups ; automorphic forms ; Eisenstein cohomology
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