Modularity of solvable Artin representations of GO(4)-type

Dinakar Ramakrishnan

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Modularity of solvable Artin representations of GO(4)-type

Dinakar Ramakrishnan This is my paper

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keywords artinrepresentationssolvabletypeabsoluteant-0253associateautomorphic

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This is an updated version of ANT-0253. Let F be a number field with absolute Galois group G. We associate, to each continuous, solvable C-representation of G of GO(4)-type, an automorphic form P of GL(4)/F with the same L-function. As a consequence we exhibit an infinite class of primitive, 16-dimensional representations for which the Artin conjecture holds.

Modularity of solvable Artin representations of GO(4)-type

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