John Coates

The Bloch-Kato conjecture for the Riemann zeta function

List of contributors Preface A. Raghuram 1. Special values of the Riemann zeta function: some results and conjectures A. Raghuram 2. K-theoretic background R. Sujatha 3. Values of the Riemann zeta function at the odd positive integers and Iwasawa theory John Coates 4. Explicit reciprocity law of Bloch-Kato and exponential maps Anupam Saikia 5. The norm residue theorem and the Quillen-Lichtenbaum conjecture Manfred Kolster 6. Regulators and zeta functions Stephen Lichtenbaum 7. Soules theorem Stephen Lichtenbaum 8. Soules regulator map Ralph Greenberg 9. On the determinantal approach to the Tamagawa number conjecture T. Nguyen Quang Do 10. Motivic polylogarithm and related classes Don Blasius 11. The comparison theorem for the Soule-Deligne classes Annette Huber 12. Eisenstein classes, elliptic Soule elements and the l-adic elliptic polylogarithm Guido Kings 13. Postscript R. Sujatha.