The generalized Riemann hypothesis and the discriminant of number fields

DOI10.1016/J.JMAA.2012.02.060zbMath1316.11106OpenAlexW1976434565MaRDI QIDQ412464

Pei-Chu Hu, Zhuan Ye

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.060

zbMATH Keywords

generalized Riemann hypothesisdiscriminantDedekind \(\zeta \)-function

Mathematics Subject Classification ID

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 (1)

Bounds of discriminants of number fields

Cites Work

• Unnamed Item
• Value distribution of \(L\)-functions
• The approximate functional equation for a class of zeta-functions
• A formula for the discriminant of number fields
• The zeros of the Riemann zeta-function

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