On zeros of cubic \(L\)-functions

DOI10.1016/j.jnt.2006.10.006zbMath1131.11061OpenAlexW1992235837MaRDI QIDQ880067

Honggang Xia

Publication date: 10 May 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.10.006

zbMATH Keywords

\(L\)-functionszero-density estimatecubic characters

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items

The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect ⋮ Value-distribution of cubic Hecke \(L\)-functions

Cites Work

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• On character sums and class numbers
• Values of symmetric square L-functions at 1
• On Hecke L-series associated with cubic characters
• A mean value estimate for real character sums
• Kummer's conjecture for cubic Gauss sums