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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

Memoirs of the American Mathematical Society

Format: Paperback / softback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Aug 2018
Dimensions: w 178mm h 254mm d 20mm
Weight: 193g
ISBN-10: 1470431025
ISBN-13: 9781470431020
Barcode No: 9781470431020
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Synopsis
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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