Open Access
October 2008 Absolute zeta functions
Anton Deitmar, Shin-ya Koyama, Nobushige Kurokawa
Proc. Japan Acad. Ser. A Math. Sci. 84(8): 138-142 (October 2008). DOI: 10.3792/pjaa.84.138


Two new concepts of zeta functions for schemes over the field of one element are proposed. A localization formula and an explicit formula in the affine case are given. This allows for a computation for every scheme.


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Anton Deitmar. Shin-ya Koyama. Nobushige Kurokawa. "Absolute zeta functions." Proc. Japan Acad. Ser. A Math. Sci. 84 (8) 138 - 142, October 2008.


Published: October 2008
First available in Project Euclid: 6 October 2008

zbMATH: 1225.11113
MathSciNet: MR2457801
Digital Object Identifier: 10.3792/pjaa.84.138

Primary: 11G25

Keywords: field of one element , zeta function

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 8 • October 2008
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