On the low-lying zeros of Hasse-Weil \(L\)-functions for elliptic curves

DOI10.1016/j.aim.2008.06.006zbMath1223.11078arXiv0708.2987OpenAlexW2111880388MaRDI QIDQ947773

Stephan Baier, Liangyi Zhao

Publication date: 7 October 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2987

zbMATH Keywords

low-lying zerosranks of elliptic curveselliptic curve \(L\)-functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other Dirichlet series and zeta functions (11M41) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Estimates on character sums (11L40) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Sums over primes (11L20)

Related Items (5)

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 ⋮ Families of L-Functions and Their Symmetry ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions

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