Low-lying zeros of L-functions for Quaternion Algebras
نویسندگان
چکیده
The density conjecture of Katz and Sarnak predicts that, for natural families L-functions, the distribution zeros lying near real axis is governed by a group symmetry. In case universal family automorphic forms on totally definite quaternion algebra, we determine associated restricted class test functions in analytic conductor aspect. particular it leads to non-trivial results densities non-vanishing at central point.
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ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2021
ISSN: ['0373-0956', '1777-5310']
DOI: https://doi.org/10.5802/aif.3428