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On the arithmetic determination of the trace

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Publication:745160
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DOI10.1016/j.jalgebra.2015.07.029zbMath1326.11066arXiv1308.2187OpenAlexW2964061318MaRDI QIDQ745160

Guillermo Mantilla-Soler

Publication date: 13 October 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2187

zbMATH Keywords

trace formsdiscriminantscubic fieldsreal number fields


Mathematics Subject Classification ID

Other number fields (11R21)


Related Items

The shapes of pure cubic fields, The Trace Form Over Cyclic Number Fields, An introduction to oddly tame number fields, Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent, The \((\alpha,\beta)\)-ramification invariants of a number field, The integral trace form as a complete invariant for real \(S_n\) number fields



Cites Work

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  • Integral trace forms associated to cubic extensions
  • The number of extensions of a number field with fixed degree and bounded discriminant
  • ON NUMBER FIELDS WITH EQUIVALENT INTEGRAL TRACE FORMS
  • The Additive Characters of the Witt Ring of an Algebraic Number Field
  • The spinor genus of the integral trace
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