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.
| ISBN: | 9781470431020 |
| Publication date: | 30th October 2018 |
| Author: | Werner Hoffmann, Satoshi Wakatsuki |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 88 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebraic geometry Algebra Number theory |