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arXiv · 1903.09508

The Bloch groups and special values of Dedekind zeta functions

Chaochao Sun·Long Zhang
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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 $Q(ζ_p)$ under the assumption the truth of the base of the Bloch group of $Q(ζ_p)$ and the relations of $K_2$ 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.

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Chaochao Sun, Long Zhang. 2019-03-26. The Bloch groups and special values of Dedekind zeta functions. https://arxiv.org/abs/1903.09508

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