Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Zeta functions of đť”˝1-buildings
Anton DeitmarMing-Hsuan Kang
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2016 Volume 68 Issue 2 Pages 807-822

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Abstract

The analogue of the Bruhat–Tits building of a p-adic group in F1-geometry is a single apartment. In this setting, the trace formula gives rise to a several variable zeta function analogously to the p-adic case. The analogy carries on to the fact that the restriction to certain lines yield zeta functions which are defined in geometrical terms. Also, the classical formula of Ihara has an analogue in this setting.

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© 2016 The Mathematical Society of Japan
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