Low-lying zeros of quadratic Dirichlet L-functions: A transition in the ratios conjecture-Reference-Cited by-同舟云学术

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Low-lying zeros of quadratic Dirichlet L-functions: A transition in the ratios conjecture

Published:2018-04-11 Issue: Volume: Page:
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Fiorilli Daniel¹²³,Parks James¹²³,Södergren Anders¹²³

Affiliation:

1. Département de mathématiques et de statistique, Université d’Ottawa, 585 King Edward, Ottawa, Ontario, Canada K1N 6N5

2. Department of Mathematics, KTH Royal Institute of Technology, Lindstedtsvägen, SE-100 44 Stockholm, Sweden

3. Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96 Gothenburg, Sweden

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/advance-article-pdf/doi/10.1093/qmath/hay018/24595905/hay018.pdf

Reference21 articles.

1. Decoupling, exponential sums and the Riemann zeta function;Bourgain;J. Amer. Math. Soc.,2017

2. Autocorrelation of ratios of L-functions;Conrey;Commun. Number Theory Phys.,2008

3. Applications of the L-functions ratios conjectures;Conrey;Proc. Lond. Math. Soc. (3),2007

4. Correlations of eigenvalues and Riemann zeros;Conrey;Commun. Number Theory Phys.,2008

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. One-level density of quadratic twists of $L$-functions;Acta Arithmetica;2023

2. Low-lying zeros in families of holomorphic cusp forms: the weight aspect;The Quarterly Journal of Mathematics;2022-05-09

3. LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS;Journal of the Australian Mathematical Society;2022-02-22

4. Omega results for cubic field counts via lower-order terms in the one-level density;Forum of Mathematics, Sigma;2022

5. A Refined Conjecture for the Variance of Gaussian Primes across Sectors;Experimental Mathematics;2020-05-01

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