Bounds for moments of cubic and quartic Dirichlet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si7.svg"><mml:mi>L</mml:mi></mml:math>-functions
نویسندگان
چکیده
We study the 2k-th moment of central values family primitive cubic and quartic Dirichlet L-functions. establish sharp lower bounds for all real k≥1/2 unconditionally case under Lindelöf hypothesis case. also 0≤k<1/2 upper k≥0 both cases generalized Riemann (GRH). As an application our results, we quantitative non-vanishing results corresponding L-values.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2022
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2022.08.003