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%3A10400369" target="_blank" >RIV/00216208:11320/19:10400369 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10377932
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jKn3f3CI2s" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jKn3f3CI2s</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 O-K of biquadratic number fields K and universal totally positive quadratic forms with coefficients in 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 Q(root 2, root 3) and Q(root 6, root 19), a lower bound on the number of variables of a universal quadratic forms.
Czech name
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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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