ON NUMBER FIELDS WITH EQUIVALENT INTEGRAL TRACE FORMS

DOI10.1142/S1793042112500807zbMath1263.11099arXiv1104.4594OpenAlexW2058357075MaRDI QIDQ3166335

Guillermo Mantilla-Soler

Publication date: 11 October 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4594

zbMATH Keywords

trace formscubic fieldsquartic fieldsintegral quadratic forms

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (7)

The shape of \(\mathbb Z/\ell\mathbb Z\)-number fields ⋮ The shape of cyclic number fields ⋮ A proof of a conjecture on trace-zero forms and shapes of number fields ⋮ On the arithmetic determination of the trace ⋮ A note on the integral trace form in cyclotomic fields ⋮ Profinite commensurability of $S$-arithmetic groups ⋮ The integral trace form as a complete invariant for real \(S_n\) number fields

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