Pregled bibliografske jedinice broj: 628854
Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments
Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments // Forum mathematicum, 26 (2014), 6; 1635-1662 doi:10.1515/forum-2012-0050 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments
Autori
Grbac, Neven ; Schwermer, Joachim
Izvornik
Forum mathematicum (0933-7741) 26
(2014), 6;
1635-1662
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Reductive groups ; automorphic forms ; Eisenstein cohomology
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)
Profili:
Neven Grbac
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus