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Regulators

In: Handbook of K-Theory

Author

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  • Alexander B. Goncharov

    (Brown University, Department of Mathematics)

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.

Suggested Citation

  • Alexander B. Goncharov, 2005. "Regulators," Springer Books, in: Eric M. Friedlander & Daniel R. Grayson (ed.), Handbook of K-Theory, chapter 0, pages 295-349, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27855-9_8
    DOI: 10.1007/978-3-540-27855-9_8
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