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