Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields
نویسندگان
چکیده
Using the Ratios Conjecture, we write down precise formulas with lower order terms for one and two level densities of zeros quadratic Dirichlet L–functions over function fields. We denote various arising as Type-0, Type-I Type-II contributions. When support Fourier transform test is sufficiently restricted, rigorously compute Type-0 confirm that they match conjectured answer. restrictions on are relaxed, our results suggest contributions become important in density.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.10.021