Original scientific paper
Solving index form equations in two parametric families of biquadratic fields
Borka Jadrijević
orcid.org/0000-0002-5913-3719
; Department of Mathematics, University of Split, Split, Croatia
Abstract
In this paper we find a minimal index and determine all integral elements with the minimal index in two families of totally real bicyclic biquadratic fields
\[K_{c}=\mathbb{Q}\left( \sqrt{\left( c-2\right) c},\sqrt{\left(
c+2\right) c}\right) \,\,\mbox{and}\,\, L_{c}=\mathbb{Q}\left( \sqrt{\left(c-2\right) c},\sqrt{\left( c+4\right) c}\right).\]
Keywords
index form equations; minimal index; totally real bicyclic biquadratic fields; simultaneous Pellian equations
Hrčak ID:
44028
URI
Publication date:
9.12.2009.
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