An error estimate for counting S3-sextic number fields

DOI10.1142/S1793042114500080zbMath1300.11107arXiv1208.2170OpenAlexW2963804294MaRDI QIDQ5494553

Takashi Taniguchi, Frank Thorne

Publication date: 28 July 2014

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

Full work available at URL: https://arxiv.org/abs/1208.2170

zbMATH Keywords

asymptotic methodsShintani zeta functiondiscriminantscubic fieldsextic field\(S_3\)-extensions

Mathematics Subject Classification ID

Other number fields (11R21) Other Dirichlet series and zeta functions (11M41) Cubic and quartic extensions (11R16)

Related Items (1)

The number of ramified primes in number fields of small degree

Uses Software

• PARI/GP

Cites Work

• Secondary terms in counting functions for cubic fields
• Orbital L-functions for the Space of Binary Cubic Forms
• DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES
• A fast algorithm to compute cubic fields
• The density of discriminants of $S_3$-sextic number fields
• On the density of discriminants of cubic fields. II

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