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On the Meromorphic Continuation of Degree Two L-Functions

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2006

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Universität Bielefeld, Fakultät für Mathematik
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Taylor, Richard L. 2006. On the meromorphic continuation of degree two L-functions. Documenta Mathematica Extra Volume Coates: 729-779.

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Abstract

We prove that the L-function of any regular (distinct Hodge numbers), irreducible, rank two motive over the rational numbers has meromorphic continuation to the whole complex plane and satisfies the expected functional equation.

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Galois representation, modularity, L-function, meromorphic continuation

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