Zeta functions of F 1 -buildings

Anton Deitmar, Ming-Hsuan Kang

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)807-822
頁數16
期刊Journal of the Mathematical Society of Japan
68
發行號2
DOIs
出版狀態Published - 1 一月 2016

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