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(ζp) under the assumption the truth of the base of the Bloch group of Q(ζp) 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.
Let T (G) be the Teichmüller space of a Fuchsian group G and T (G) be the pointed Teichmüller space of a corresponding pointed Fuchsian group G. We will discuss the existence of holomorphic sections of the projection from the space M
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