The Trace Form Over Cyclic Number Fields

DOI10.4153/S0008414X20000255zbMath1492.11147arXiv1904.10080MaRDI QIDQ5075660

Guillermo Mantilla-Soler, Wilmar Bolaños

Publication date: 11 May 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10080

zbMATH Keywords

trace formcyclic number fields

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

The shape of cyclic number fields ⋮ The integral trace form as a complete invariant for real \(S_n\) number fields

Cites Work

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• On the arithmetic determination of the trace
• Galois cohomology and the trace form
• A proof of a conjecture on trace-zero forms and shapes of number fields
• The number of extensions of a number field with fixed degree and bounded discriminant
• On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems
• Distribution of Discriminants of Abelian Extensions
• The shapes of Galois quartic fields
• The Discriminant Matrices of An Algebraic Number Field

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