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Moments of quadratic Hecke L-functions of imaginary quadratic number fields

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2020Embargo end date: 01 Jan 2017 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 209, pages 359-377 (issn: 0022-314X, Copyright policy )
Authors: Gao, Peng; Zhao, Liangyi;

doi: 10.1016/j.jnt.2019.09.002 , 10.48550/arxiv.1707.00091

arXiv: http://arxiv.org/abs/1707.00091

handle: 1959.4/unsworks_67218

Moments of quadratic Hecke L-functions of imaginary quadratic number fields

Abstract

In this paper, we study the moments of central values of Hecke $L$-functions associated with quadratic characters in $\mathbb{Q}(i)$ and $\mathbb{Q}(��)$ with $��= exp(2��i/3)$ and establish some quantitative non-vanishing result for these $L$-values.

12 pages

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Keywords

Mathematics - Number Theory, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 510, 620, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
Green
bronze