Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Special Values of the Riemann Zeta Function: Some Results and Conjectures
- 2 K-theoretic Background
- 3 Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory
- 4 Explicit Reciprocity Law of Bloch–Kato and Exponential Maps
- 5 The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture
- 6 Regulators and Zeta-functions
- 7 Soulé's Theorem
- 8 Soulé's Regulator Map
- 9 On the Determinantal Approach to the Tamagawa Number Conjecture
- 10 Motivic Polylogarithm and Related Classes
- 11 The Comparison Theorem for the Soulé–Deligne Classes
- 12 Eisenstein Classes, Elliptic Soulé Elements and the ℓ-Adic Elliptic Polylogarithm
- 13 Postscript
- References
3 - Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory
Published online by Cambridge University Press: 05 March 2015
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Special Values of the Riemann Zeta Function: Some Results and Conjectures
- 2 K-theoretic Background
- 3 Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory
- 4 Explicit Reciprocity Law of Bloch–Kato and Exponential Maps
- 5 The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture
- 6 Regulators and Zeta-functions
- 7 Soulé's Theorem
- 8 Soulé's Regulator Map
- 9 On the Determinantal Approach to the Tamagawa Number Conjecture
- 10 Motivic Polylogarithm and Related Classes
- 11 The Comparison Theorem for the Soulé–Deligne Classes
- 12 Eisenstein Classes, Elliptic Soulé Elements and the ℓ-Adic Elliptic Polylogarithm
- 13 Postscript
- References
Summary
- Type
- Chapter
- Information
- The Bloch–Kato Conjecture for the Riemann Zeta Function , pp. 45 - 64Publisher: Cambridge University PressPrint publication year: 2015
References
- 6
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