The Bloch groups and special values of Dedekind zeta functions
Number Theory
2019-03-27 v2
Abstract
In this paper, we compare the two definitions of Bloch group, and survey the elements in Bloch group. We confirm the Lichtenbaum conjecture on the field under the assumption the truth of the base of the Bloch group of and the relations of group. We also study the Lichtenbaum conjecture on non-Galois fields. By PARI, we get some equations of the zeta functions on special values and the structure of tame kernel of these fields.
Keywords
Cite
@article{arxiv.1903.09508,
title = {The Bloch groups and special values of Dedekind zeta functions},
author = {Chaochao Sun and Long Zhang},
journal= {arXiv preprint arXiv:1903.09508},
year = {2019}
}