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

Werner Hoffmann, Satoshi Wakatsuki (Autoren)

Buch | Softcover

88 Seiten

2018
American Mathematical Society (Verlag)
978-1-4704-3102-0 (ISBN)

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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.

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
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