#### How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

2. Complete and sign the license agreement.

3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2213  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

# memo_has_moved_text();On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

Werner Hoffmann and Satoshi Wakatsuki

Publication: Memoirs of the American Mathematical Society
Publication Year: 2018; Volume 255, Number 1224
ISBNs: 978-1-4704-3102-0 (print); 978-1-4704-4825-7 (online)
DOI: https://doi.org/10.1090/memo/1224
Published electronically: August 1, 2018

View full volume PDF

View other years and numbers:

Chapters

• Chapter 1. Introduction
• Chapter 2. Preliminaries
• Chapter 3. A formula of Labesse and Langlands
• Chapter 4. Shintani zeta function for the space of binary quadratic forms
• Chapter 5. Structure of $\mathrm GSp(2)$
• Chapter 6. The geometric side of the trace formula for $\mathrm GSp(2)$
• Chapter 7. The geometric side of the trace formula for $\mathrm Sp(2)$
• Appendix A. The group $\mathrm GL(3)$
• Appendix B. The group $\mathrm SL(3)$

### Abstract

We 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 over any algebraic number field. In particular, we express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.