Pythagoras numbers of orders in biquadratic fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10453507" target="_blank" >RIV/00216208:11320/22:10453507 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FlmpRpe7pF" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FlmpRpe7pF</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.exmath.2022.06.002" target="_blank" >10.1016/j.exmath.2022.06.002</a>

Result language
angličtina
Original language name
Pythagoras numbers of orders in biquadratic fields
Original language description
We examine the Pythagoras number of the ring of integers in a totally real biquadratic number field. We show that the known upper bound 7 is attained in a large and natural infinite family of such fields. In contrast, for almost all fields we prove. Further we show that 5 is a lower bound for all but seven fields and 6 is a lower bound in an asymptotic sense.
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/GM21-00420M" target="_blank" >GM21-00420M: Universal Quadratic Forms and Class Numbers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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