標題: Zeta functions of F-1-buildings
作者: Deitmar, Anton
Kang, Ming-Hsuan
應用數學系
Department of Applied Mathematics
關鍵字: field of one element;Bruhat-Tits building;Ihara zeta function
公開日期: Apr-2016
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.
URI: http://dx.doi.org/10.2969/jmsj/06820807
http://hdl.handle.net/11536/133666
ISSN: 0025-5645
DOI: 10.2969/jmsj/06820807
期刊: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
Volume: 68
Issue: 2
起始頁: 807
結束頁: 822
Appears in Collections:Articles