Universal quadratic forms and indecomposables over biquadratic fields
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10377935" target="_blank" >RIV/00216208:11320/18:10377935 - isvavai.cz</a>
Result on the web
<a href="https://numeration2018.sciencesconf.org/" target="_blank" >https://numeration2018.sciencesconf.org/</a>
DOI - Digital Object Identifier
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Alternative languages
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 OK of biquadratic number fields K and universal totally positive quadratic forms with coefficients in OK. 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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů