Low-lying zeros of number field \(L\)-functions
type: Item
instance of: scholarly article
title: Low-lying zeros of number field \(L\)-functions
zbMATH Open document ID: 1368.11116
author: Steven J. Miller
author: Ryan Peckner
published in: Journal of Number Theory
publication date: 2012-10-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1003.5336
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 11M26
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11M50
zbMATH DE Number: 6097268
zbMATH Keywords: 1-level density
zbMATH Keywords: Hecke characters
zbMATH Keywords: low-lying zeros
zbMATH Keywords: symmetry
zbMATH Keywords: CM-fields
zbMATH Keywords: class number
zbMATH Keywords: lower order terms
MaRDI profile type: Publication
OpenAlex ID: W2004961068
arXiv ID: 1003.5336
cites work: Maass Waveforms and Low-Lying Zeros
cites work: Small generators of the ideal class group
cites work: The low lying zeros of a GL(4) and a GL(6) family of $L$-functions
cites work: The effect of convolving families of L -functions on the underlying group symmetries
cites work: Low-lying zeros of dihedral \(L\)-functions
cites work: On CM-fields with the same maximal real subfield
cites work: Low-lying zeros of \(L\)-functions with orthogonal symmetry
cites work: Linear Statistics of Low-Lying Zeros of L-Functions
cites work: Lower order terms for the one-level density of elliptic curve \(L\)-functions
cites work: Q4830109
cites work: Low lying zeros of families of \(L\)-functions
cites work: Q4226082
cites work: Zeroes of zeta functions and symmetry
cites work: A bound for the least prime ideal in the Chebotarev density theorem
cites work: Q4298518
cites work: One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries
cites work: Q5481403
cites work: A Symplectic Test of the L-Functions Ratios Conjecture
cites work: Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
cites work: An orthogonal test of the L -functions Ratios conjecture
cites work: An orthogonal test of the L-functions Ratios Conjecture, II
cites work: Q3213195
cites work: Counting integral ideals in a number field
cites work: On the Distribution of Spacings Between Zeros of the Zeta Function
cites work: Q4550209
cites work: Q3208766
cites work: Inclusion of CM-fields and divisibility ofrelative class numbers
cites work: Small zeros of quadratic L-functions
cites work: Q4175657
cites work: Statistics for low-lying zeros of symmetric power L-functions in the level aspect
cites work: Small zeros of \(L\)-functions of modular forms
cites work: Low-lying zeros of \(L\)-functions and random matrix theory
cites work: Q4371936
cites work: Q3943047
cites work: Q5461857
cites work: Low-lying zeros of families of elliptic curves
DOI: 10.1016/J.JNT.2012.05.034
description: scientific article; zbMATH DE number 6097268