The n-level densities of low-lying zeros of quadratic Dirichlet L-functions

Jake Levinson, Steven J. Miller

Type: Article

Publication Date: 2013-01-01

Citations: 14

DOI: https://doi.org/10.4064/aa161-2-3

Abstract

Previous work by Rubinstein and Gao computed the $n$-level densities for families of quadratic Dirichlet $L$-functions for test functions $\widehat{f}_1, \dots, \widehat{f}_n$ supported in $\sum_{i=1}^n |u_i| < 2$, and showed agreement with random matr

Locations

Acta Arithmetica - View - PDF
arXiv (Cornell University) - View - PDF

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Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak
+	L-Functions and Random Matrices	2001	J. Brian Conrey
+	Low-lying Zeros of Cuspidal Maass Forms	2011	Nadine Amersi Geoffrey Iyer Oleg Lazarev Steven J. Miller Liyang Zhang
+	Random Matrix Theory and L-Functions at s = 1/2	2000	Jonathan P. Keating N. C. Snaith
+	Low-lying zeros of dihedral L-functions	2003	Étienne Fouvry Henryk Iwaniec
+ PDF Chat	Small zeros of quadratic <i>L</i>-functions	1993	Ali E. Özlük C. Snyder
+	On the Foundations of Combinatorial Theory	2009	Gian‐Carlo Rota
+ PDF Chat	Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory	2013	Alexei Entin Edva Roditty-Gershon Zeév Rudnick
+	Low-lying zeros of number field L -functions	2012	Steven J. Miller Ryan Peckner