caa a22 4500 445869364 CHVBK 20180317145507.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00605-010-0215-y doi (NATIONALLICENCE)springer-10.1007/s00605-010-0215-y Grbac Neven Department of Mathematics, University of Rijeka, Omladinska 14, 51000, Rijeka, Croatia aut On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup [Elektronische Daten] [Neven Grbac] For the split symplectic and special orthogonal groups over a number field, we decompose the part of the residual spectrum supported in the maximal parabolic subgroup with the Levi factor isomorphic to GL n. The decomposition depends on the analytic properties of the symmetric and exterior square automorphic L-functions, but seems sufficient for the computation of the corresponding part of the Eisenstein cohomology. We also prove that if one assumed Arthur's conjectural description of the discrete spectrum for the considered groups, then one would be able to find the poles of the L-functions in question, and would make the decomposition more precise. Springer-Verlag, 2010 Spectral decomposition nationallicence Automorphic forms nationallicence Automorphic L-functions nationallicence Monatshefte für Mathematik Springer Vienna 163/3(2011-07-01), 301-314 0026-9255 163:3<301 2011 163 605 https://doi.org/10.1007/s00605-010-0215-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0215-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Grbac Neven Department of Mathematics, University of Rijeka, Omladinska 14, 51000, Rijeka, Croatia aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/3(2011-07-01), 301-314 0026-9255 163:3<301 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer