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Fall 2014 Geometric zeta functions for higher rank $p$-adic groups
Anton Deitmar, Ming-Hsuan Kang
Illinois J. Math. 58(3): 719-738 (Fall 2014). DOI: 10.1215/ijm/1441790387

Abstract

The higher rank Lefschetz formula for $p$-adic groups is used to prove rationality of a several-variable zeta function attached to the action of a $p$-adic group on its Bruhat–Tits building. By specializing to certain lines one gets one-variable zeta functions, which then can be related to geometrically defined zeta functions.

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Anton Deitmar. Ming-Hsuan Kang. "Geometric zeta functions for higher rank $p$-adic groups." Illinois J. Math. 58 (3) 719 - 738, Fall 2014. https://doi.org/10.1215/ijm/1441790387

Information

Received: 31 March 2014; Revised: 10 March 2015; Published: Fall 2014
First available in Project Euclid: 9 September 2015

zbMATH: 1377.11102
MathSciNet: MR3395960
Digital Object Identifier: 10.1215/ijm/1441790387

Subjects:
Primary: 11M41
Secondary: 11F70, 11F72, 11F75, 20E42, 51E24

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

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Vol.58 • No. 3 • Fall 2014
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