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

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arxiv math/0102231 v1 pith:MTH3YWRN submitted 2001-02-06 math.NT

classification math.NT
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.

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  1. Using Large Language Models to Study Mathematical Practice

    math.HO 2025-06 conditional novelty 6.0 of 10

    An LLM-assisted corpus study finds that roughly 3% to 12% of 5,000 arXiv math papers contain clear or borderline appeals to mathematical explanation, with frequency varying by subfield.

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