In particular, for each positive number n, the 2-part of the rational number zeta(1-2n) is exactly twice the ratio of order of the 2-torsion in the finite groups K_{4n-2}(Z) and K_{4n-1}(Z).

This note is in English, preceded by an abridged French version. A description of the 2-torsion in the K-theory of the integers in other number fields will appear in a longer paper with Rognes.

This has appeared in C. R. Acad. Sci. (Paris), 324 (1997), 615-620.

- 0141.bib (238 bytes)
- 2torsion.cras.dvi (30848 bytes) [July 24, 1996]
- 2torsion.cras.dvi.gz (12879 bytes)
- 2torsion.cras.pdf (103609 bytes)
- 2torsion.cras.ps.gz (129195 bytes)

Charles A. Weibel <weibel@math.rutgers.edu>