An introduction to oddly tame number fields

Guillermo Mantilla-Soler*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

It follows from generalities of quadratic forms that the spinor class of the integral trace of a number field determines the signature and the discriminant of the field. In this paper we define a family of number fields, that contains among others all odd degree Galois tame number fields, for which the converse is true. In other words, for a number field K in such family we prove that the spinor class of the integral trace carries no more information about K than the discriminant and the signature do.

Original languageEnglish
Pages (from-to)711-717
Number of pages7
JournalJOURNAL DE THEORIE DES NOMBRES DE BORDEAUX
Volume32
Issue number3
DOIs
Publication statusPublished - 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Arithmetic equivalence
  • Arithmetic invariants
  • Tame fields
  • Trace forms

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