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Alexander B. Goncharov ()
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Alexander B. Goncharov: Brown University, Department of Mathematics

Chapter II.3 in Handbook of K-Theory, 2005, pp 295-349 from Springer

Abstract: 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.

Keywords: Hopf Algebra; Cohomology Class; Motivic Complex; Algebraic Cycle; Mixed Hodge Structure (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/978-3-540-27855-9_8

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