
On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
American Mathematical Society (Publisher)
Will be published approx. on 30. October 2018
Book
Paperback/Softback
88 pages
978-1-4704-3102-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
193 gr
ISBN-13
978-1-4704-3102-0 (9781470431020)
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Schweitzer Classification
Persons
Werner Hoffmann, Universitat at Bielefeld, Germany.
Satoshi Wakatsuki, Institute of Science and Engineering, Kanazawa Univeristy, Japan.
Satoshi Wakatsuki, Institute of Science and Engineering, Kanazawa Univeristy, Japan.
Content
Introduction
Preliminaries
A formula of Labesse and Langlands
Shintani zeta function for the space of binary quadratic forms
Structure of $\mathrm{GSp}(2)$
The geometric side of the trace formula for $\mathrm{GSp}(2)$
The geometric side of the trace formula for $\mathrm{Sp}(2)$
Appendix A. The group $\mathrm{GL}(3)$
Appendix B. The group $\mathrm{SL}(3)$
References
Preliminaries
A formula of Labesse and Langlands
Shintani zeta function for the space of binary quadratic forms
Structure of $\mathrm{GSp}(2)$
The geometric side of the trace formula for $\mathrm{GSp}(2)$
The geometric side of the trace formula for $\mathrm{Sp}(2)$
Appendix A. The group $\mathrm{GL}(3)$
Appendix B. The group $\mathrm{SL}(3)$
References