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arxiv: 1010.5727 · v2 · pith:5VAPOMJVnew · submitted 2010-10-27 · 🧮 math.NT

Explicit methods for Hilbert modular forms

classification 🧮 math.NT
keywords explicitformshilbertmodularalgorithmsapplicationscomputeeigenvalues
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We exhibit algorithms to compute systems of Hecke eigenvalues for spaces of Hilbert modular forms over a totally real field. We provide many explicit examples as well as applications to modularity and Galois representations.

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