On the zeros of Weng zeta functions for Chevalley groups

We prove that all but finitely many zeros of Weng’s zeta function for a Chevalley group defined over Q are simple and on the critical line.

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Veröffentlicht in:	Manuscripta mathematica 2015-09, Vol.148 (1-2), p.119-176
Hauptverfasser:	Ki, Haseo, Komori, Yasushi, Suzuki, Masatoshi
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove that all but finitely many zeros of Weng’s zeta function for a Chevalley group defined over Q are simple and on the critical line.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-015-0736-8