caa a22 4500 37889241X CHVBK 20180305123458.0 cr unu---uuuuu 161128e20041130xx s 000 0 eng 10.1515/crll.2004.2004.577.23 doi (NATIONALLICENCE)gruyter-10.1515/crll.2004.2004.577.23 Venkatesh Akshay 1. Cambridge. Beyond Endoscopy and special forms on GL(2) [Elektronische Daten] [Akshay Venkatesh] We carry out (with technical modifications) some cases of a procedure proposed by R. Langlands in Beyond Endoscopy. This gives a new proof of the classification of "dihedral forms” on GL(2), avoiding endoscopic methods: instead, it uses an infinite limiting process in the trace formula. We also explain the relationship of Langlands' idea to the results of [10] that count automorphic forms associated to Galois representations. We prove results of a similar nature over an arbitrary number field. The main tool is a version of the relative trace formula, namely a slight variant (for PGL(2)) of the Kuznetsov-Bruggeman-Miatello formula. © Walter de Gruyter Grammar, syntax, linguistic structure nationallicence Phonetics, phonology, prosody nationallicence Historical & comparative linguistics nationallicence Journal für die reine und angewandte Mathematik (Crelles Journal) Walter de Gruyter 2004/577(2004-11-30), 23-80 0075-4102 2004:577<23 2004 2004 crll https://doi.org/10.1515/crll.2004.2004.577.23 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/crll.2004.2004.577.23 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Venkatesh Akshay 1. Cambridge NATIONALLICENCE 773 0- Journal für die reine und angewandte Mathematik (Crelles Journal) Walter de Gruyter 2004/577(2004-11-30), 23-80 0075-4102 2004:577<23 2004 2004 crll CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter