Hoffmann, Werner.

On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2. - 1st ed. - 1 online resource (100 pages) - Memoirs of the American Mathematical Society Series ; v.255 . - Memoirs of the American Mathematical Society Series .

Cover -- Title page -- 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 (2) -- Chapter 6. The geometric side of the trace formula for (2) -- Chapter 7. The geometric side of the trace formula for (2) -- Appendix A. The group (3) -- Appendix B. The group (3) -- References -- Back Cover.

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.

9781470448257


Selberg trace formula.


Electronic books.

QA241 .H644 2018

512.7