Explicit methods for Hilbert modular forms

Details Explicit methods for Hilbert modular forms Explicit methods for Hilbert modular forms

2010-10-27

arxiv.org/abs/1010.5727v2

Mathematics

Number Theory

52 pages, 10 figures, many tables

Scientific paper

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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