Nonvanishing of twists of $L$-functions attached to Hilbert modular forms

Gonzalo Tornaria; John Voight; Nathan C. Ryan

arxiv: 1405.6059 · v1 · pith:XLQQH3Z4new · submitted 2014-05-23 · 🧮 math.NT

Nonvanishing of twists of L-functions attached to Hilbert modular forms

Nathan C. Ryan , Gonzalo Tornaria , John Voight This is my paper

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keywords computationsformsfunctionshilbertmodulartwistsalgorithmsassociated

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We describe algorithms for computing central values of twists of $L$-functions associated to Hilbert modular forms, carry out such computations for a number of examples, and compare the results of these computations to some heuristics and predictions from random matrix theory.

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Nonvanishing of twists of L-functions attached to Hilbert modular forms

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