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arxiv: math/0612318 · v1 · submitted 2006-12-12 · 🧮 math.NT

Multiplicities of Galois representations of weight one (with an appendix by Niko Naumann)

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In this article we consider mod p modular Galois representations which are unramified at p such that the Frobenius element at p acts through a scalar matrix. The principal result states that the multiplicity of any such representation is bigger than 1.

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