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3 - Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory

Published online by Cambridge University Press:  05 March 2015

By
John Coates
Edited by
John Coates ,
A. Raghuram ,
Anupam Saikia  and
R. Sujatha
John Coates
Affiliation:
University of Cambridge, UK
John Coates
Affiliation:
University of Cambridge
A. Raghuram
Affiliation:
Indian Institute of Science Education and Research, Pune
Anupam Saikia
Affiliation:
Indian Institute of Technology, Guwahati
R. Sujatha
Affiliation:
University of British Columbia, Vancouver
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Information
The Bloch–Kato Conjecture for the Riemann Zeta Function , pp. 45 - 64
Publisher: Cambridge University Press
Print publication year: 2015

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References

[BK90] Bloch, S., and Kato, K. 1990. Tamagawa numbers of motives. The Grothendieck Festschrift Volume 1. Progress in Mathematics, 86, 333–400.Google Scholar
[CS06] Coates, J., and Sujatha, R. 2006. Cyclotomic fields and zeta values. Monographs in Mathematics, Springer.
[DF85] Dwyer, W., and Friedlander, E. 1982. Etale K-theory and arithmetic. Bulletin Amer. Math. Soc., 6 (1982), 453-455.Google Scholar
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[Hu15] Huber, A. 2015. The comparison theorem for the Soule-Deligne classes, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 210-238.
[Iw73] Iwasawa, K. 1973. On ℤl-extensions of algebraic number fields. Annals Math., 98, 246-326.Google Scholar
[Ki15] Kings, G. 2015. The l-adic realisation of the elliptic polylogarithm and the evaluation of Eisenstein classes, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 239-296.
[KNF96] Kolster, M., Nguyen Quang Do, T., and Fleckinger, V. 1996. Twisted S-units, p-adic class number formulas, and the Lichtenbaum conjectures. Duke Math|J., 84, 679-717.Google Scholar
[Li15] Lichtenbaum, S. 2015. Soule's theorem, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 130-139.
[Ng15] Nguyen Quang Do, T. 2015. On the determinental approach to the Tamagawa number conjecture, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 154-192.
[Sa15] Saikia, A. 2015. Explicit reciprocity law of Bloch-Kato and exponential maps, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 65-96.
[So79] Soule, C. 1979. K-theorie des anneaux d'entiers de corps de nombres et cohomologie etale. Inventiones Math., 55, 251-295.Google Scholar
[So99] Soule, C. 1999. Perfect forms and the Vandiver conjecture. J. Reine Angew. Math., 517, 209-221.Google Scholar
[Ta76] Tate, J. 1976. Relations between K2 and Galois cohomology. Inventiones Math., 36, 257-274.Google Scholar

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