Proceedings of the Japan Academy, Series A, Mathematical Sciences

Absolute zeta functions

Anton Deitmar, Shin-ya Koyama, and Nobushige Kurokawa

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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.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 8 (2008), 138-142.

First available in Project Euclid: 6 October 2008

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Zentralblatt MATH identifier

Primary: 11G25: Varieties over finite and local fields [See also 14G15, 14G20]

Zeta function field of one element


Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige. Absolute zeta functions. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 8, 138--142. doi:10.3792/pjaa.84.138.

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