Beyond Endoscopy and special forms on GL(2)
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| 024 | 7 | 0 | |a 10.1515/crll.2004.2004.577.23 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/crll.2004.2004.577.23 | ||
| 100 | 1 | |a Venkatesh |D Akshay |u 1. Cambridge. | |
| 245 | 1 | 0 | |a Beyond Endoscopy and special forms on GL(2) |h [Elektronische Daten] |c [Akshay Venkatesh] |
| 520 | 3 | |a 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. | |
| 540 | |a © Walter de Gruyter | ||
| 690 | 7 | |a Grammar, syntax, linguistic structure |2 nationallicence | |
| 690 | 7 | |a Phonetics, phonology, prosody |2 nationallicence | |
| 690 | 7 | |a Historical & comparative linguistics |2 nationallicence | |
| 773 | 0 | |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 23-80 |x 0075-4102 |q 2004:577<23 |1 2004 |2 2004 |o crll | |
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| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/crll.2004.2004.577.23 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Venkatesh |D Akshay |u 1. Cambridge | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal für die reine und angewandte Mathematik (Crelles Journal) |d Walter de Gruyter |g 2004/577(2004-11-30), 23-80 |x 0075-4102 |q 2004:577<23 |1 2004 |2 2004 |o crll | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||