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Explicit Methods for Hilbert Modular Forms

Authors: Dembélé, Lassina; Voight, John;

Explicit Methods for Hilbert Modular Forms

Abstract

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.

52 pages, 10 figures, many tables

Related Organizations
Keywords

Mathematics - Number Theory, FOS: Mathematics, Formes modulars, Nombres, Teoria dels, Number Theory (math.NT), 511 - Teoria dels nombres

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Top 10%
Green