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Handbook of K-Theory pp 295–349Cite as

Regulators

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Abstract

The ζ-function is one of the most deep and mysterious objects in mathematics. During the last two centuries it has served as a key source of new ideas and concepts in arithmetic algebraic geometry. The ζ-function seems to be created to guide mathematicians into the right directions. To illustrate this, let me recall three themes in the 20th century mathematics which emerged from the study of the most basic properties of ζ-functions: their zeros, analytic properties and special values.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Brown University, 02906, Providence, RI, USA

    Alexander B. Goncharov

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  1. Alexander B. Goncharov
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Eric M. Friedlander

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Daniel R. Grayson

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© 2005 Springer-Verlag Berlin Heidelberg

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Goncharov, A. (2005). Regulators. In: Friedlander, E., Grayson, D. (eds) Handbook of K-Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27855-9_8

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