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Abstract: For a unitary local system of rank one on a complete hyperbolic threefold offinite volume which has only one cusp, we will compare the order of theAlexander invariant at t=1 and one of Ruelle-Selberg L-function at s=0. Ourresult may be considered as a geometric analog of the Iwasawa main conjecturein the algebraic number theory.



Author: Ken-ichi Sugiyama

Source: https://arxiv.org/







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