On the geometric side of the Arthur trace formula for the symplectic group of rank 2

The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank 2 over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms...

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Detalles Bibliográficos
Autores principales: Hoffmann, Werner, Wakatsuki, Satoshi
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2653927
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author Hoffmann, Werner
Wakatsuki, Satoshi
author_facet Hoffmann, Werner
Wakatsuki, Satoshi
author_sort Hoffmann, Werner
collection CERN
description The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank 2 over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke L-functions, and the Shintani zeta function for the space of binary quadratic forms.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2018
publisher American Mathematical Society
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spelling cern-26539272021-04-21T18:37:08Zhttp://cds.cern.ch/record/2653927engHoffmann, WernerWakatsuki, SatoshiOn the geometric side of the Arthur trace formula for the symplectic group of rank 2Mathematical Physics and MathematicsThe authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank 2 over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke L-functions, and the Shintani zeta function for the space of binary quadratic forms.American Mathematical Societyoai:cds.cern.ch:26539272018
spellingShingle Mathematical Physics and Mathematics
Hoffmann, Werner
Wakatsuki, Satoshi
On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title_full On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title_fullStr On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title_full_unstemmed On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title_short On the geometric side of the Arthur trace formula for the symplectic group of rank 2
title_sort on the geometric side of the arthur trace formula for the symplectic group of rank 2
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2653927
work_keys_str_mv AT hoffmannwerner onthegeometricsideofthearthurtraceformulaforthesymplecticgroupofrank2
AT wakatsukisatoshi onthegeometricsideofthearthurtraceformulaforthesymplecticgroupofrank2

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