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arXiv · 1405.6059

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

Nathan C. Ryan·Gonzalo Tornaria·John Voight
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Abstract

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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Nathan C. Ryan, Gonzalo Tornaria, John Voight. 2014-05-23. Nonvanishing of twists of $L$-functions attached to Hilbert modular forms. https://doi.org/10.1112/s1461157014000278

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