On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-3102-0 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-3102-0 (ISBN)
Studies 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.
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.
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.
Werner Hoffmann, Universitat at Bielefeld, Germany. Satoshi Wakatsuki, Institute of Science and Engineering, Kanazawa Univeristy, Japan.
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
Erscheinungsdatum | 26.10.2018 |
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Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 193 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-3102-5 / 1470431025 |
ISBN-13 | 978-1-4704-3102-0 / 9781470431020 |
Zustand | Neuware |
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