Counting and zeta functions over $${\mathbb F}_1$$ F 1

Author:

Deitmar Anton,Koyama Shin-ya,Kurokawa Nobushige

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference11 articles.

1. Connes, A., Consani, C.: Characteristic 1, entropy and the absolute point. In: Noncommutative geometry, arithmetic, and related topics, pp. 75–139. Johns Hopkins Univ. Press, Baltimore (2011). (MR2907005)

2. Deitmar, A.: Schemes over $$\mathbb{F}_1$$ F 1 . In: Number fields and function fields-two parallel worlds. Progr. Math., vol. 239, pp. 87–100. Birkhäuser, Boston (2005)

3. Deitmar, A.: Remarks on zeta functions and $$K$$ K -theory over $${ \mathbf{F}}_1$$ F 1 . Proc. Jpn. Acad. Ser. A Math. Sci. 82(8), 141–146 (2006)

4. Deitmar, A.: $$\mathbb{F}_1$$ F 1 - schemes and toric varieties. Beiträge Algebra Geom. 49(2), 517–525. (2008) [MR2468072 (2009j:14003)]

5. Deitmar, A., Koyama, S., Kurokawa, N.: Absolute zeta functions. Proc. Jpn. Acad. Ser. A Math. Sci. 84(8), 138–142 (2008)

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