Absolute derivations and zeta functions

zbMath1101.11325MaRDI QIDQ1419620

Masato Wakayama, Hiroyuki Ochiai, Nobushige Kurokawa

Publication date: 19 January 2004

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126736

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (16)

On absolute algebraic geometry the affine case ⋮ New foundations for geometry Two non-additive languages for arithmetical geometry ⋮ Arithmetic derivatives through geometry of numbers ⋮ Zeta functions of \({\mathbb F}_1\)-buildings ⋮ Absolute zeta functions ⋮ Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\) ⋮ The BC-system and \(L\)-functions ⋮ The hyperring of adèle classes ⋮ The hyperring of adèle classes ⋮ Zeta functions over \(\mathbb F_1\) ⋮ Values of absolute tensor products ⋮ On the notion of geometry over 𝔽₁ ⋮ Absolute Frobenius operators ⋮ A topological groupoid representing the topos of presheaves on a monoid ⋮ Arithmetic partial differential equations. I ⋮ Universal Thickening of the Field of Real Numbers

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