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Pregled bibliografske jedinice broj: 628854

Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments


Grbac, Neven; Schwermer, Joachim
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:

Avatar Url Neven Grbac (autor)

Poveznice na cjeloviti tekst rada:

doi www.degruyter.com

Citiraj ovu publikaciju:

Grbac, Neven; Schwermer, Joachim
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)
Grbac, N. & Schwermer, J. (2014) Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments. Forum mathematicum, 26 (6), 1635-1662 doi:10.1515/forum-2012-0050.
@article{article, author = {Grbac, Neven and Schwermer, Joachim}, year = {2014}, pages = {1635-1662}, DOI = {10.1515/forum-2012-0050}, keywords = {Reductive groups, automorphic forms, Eisenstein cohomology}, journal = {Forum mathematicum}, doi = {10.1515/forum-2012-0050}, volume = {26}, number = {6}, issn = {0933-7741}, title = {Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments}, keyword = {Reductive groups, automorphic forms, Eisenstein cohomology} }
@article{article, author = {Grbac, Neven and Schwermer, Joachim}, year = {2014}, pages = {1635-1662}, DOI = {10.1515/forum-2012-0050}, keywords = {Reductive groups, automorphic forms, Eisenstein cohomology}, journal = {Forum mathematicum}, doi = {10.1515/forum-2012-0050}, volume = {26}, number = {6}, issn = {0933-7741}, title = {Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments}, keyword = {Reductive groups, automorphic forms, Eisenstein cohomology} }

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


Citati:





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