Universal quadratic forms and indecomposables over biquadratic fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10377932" target="_blank" >RIV/00216208:11320/19:10377932 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10400369
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=_R5RUoX.82" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=_R5RUoX.82</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201800109" target="_blank" >10.1002/mana.201800109</a>

Result language
angličtina
Original language name
Universal quadratic forms and indecomposables over biquadratic fields
Original language description
The aim of this article is to study (additively) indecomposable algebraic integers $mathcal O_K$ of biquadratic number fields $K$ and universal totally positive quadratic forms with coefficients in $mathcal O_K$. There are given sufficient conditions for an indecomposable element of a quadratic subfield to remain indecomposable in the biquadratic number field $K$. Furthermore, estimates are proven which enable algorithmization of the method of escalation over $K$. These are used to prove, over two particular biquadratic number fields $BQ 23$ and $BQ{6}{19}$, a lower bound on the number of variables of a universal quadratic forms.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ17-04703Y" target="_blank" >GJ17-04703Y: Quadratic forms and numeration systems over number fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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