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Non-Abelian L Function for Number Fields

Lin Weng

math.AGarXiv:math/0412008

Abstract

This is an integrated part of our Geo-Arithmetic Program. In this paper we introduce and hence study non-abelian zeta functions and more generally non-abelian L-functions for number fields, based on geo-arithmetical cohomology, geo-arithmetical truncation and Langlands' theory of Eisenstein series.

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