Published 24 Mar 2003. First received 12 Jul 2002.

Numerical evidence for a conjectural generalization of Hilbert's theorem 132

W. Bley

Abstract: This paper presents an algorithm for computing numerical evidence for a conjecture whose validity is predicted by the requirement that the equivariant Tamagawa number conjectures for Tate motives as formulated by Burns and Flach are compatible with the functional equation of the Artin L-series. The algorithm includes methods for the computation of Fitting ideals and projective lattices over the integral group ring.

This paper is available as

(198 KB).

All papers published in the LMS JCM are covered by a copyright agreement with the authors. Access to the papers is bound by this agreement; click here for details.

In addition to the paper, the following electronic appendices are available to subscribers :

Appendix B : This appendix contains the PARI sources of an implementation of the algorithm described in the paper Numerical evidence for a conjectural generalization of Hilbert's theorem 132, and also a file of examples to which it was applied.

Go to the Volume 6 index
Return to the LMS JCM Homepage