One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions
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Publication:5222170
DOI10.4153/S0008414X1900021XzbMath1469.11287arXiv1708.01701OpenAlexW2963590721WikidataQ128009390 ScholiaQ128009390MaRDI QIDQ5222170
Publication date: 1 April 2020
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01701
(zeta (s)) and (L(s, chi)) (11M06) Cubic and quartic extensions (11R16) Estimates on character sums (11L40) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)
Related Items (13)
LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS ⋮ ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS ⋮ First moments of some Hecke \(L\)-functions of prime moduli ⋮ Average values of quadratic Hecke character sums ⋮ Average Bateman–Horn for Kummer polynomials ⋮ One-level density of quadratic twists of $L$-functions ⋮ First moment of central values of quadratic Hecke L-functions in the Gaussian field ⋮ Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field ⋮ One-level density of zeros of Dirichlet \(L\)-functions over function fields ⋮ Mean values of some Hecke characters ⋮ Moments and one level density of certain unitary families of Hecke \(L\)-functions ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions
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