BOUNDS ON THE PYTHAGORAS NUMBER AND INDECOMPOSABLES IN BIQUADRATIC FIELDS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508585" target="_blank" >RIV/00216208:11320/25:10508585 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/25:00384661
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Fp2G1UTivJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Fp2G1UTivJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0013091525000112" target="_blank" >10.1017/S0013091525000112</a>

Result language
angličtina
Original language name
BOUNDS ON THE PYTHAGORAS NUMBER AND INDECOMPOSABLES IN BIQUADRATIC FIELDS
Original language description
We show that for all real biquadratic fields not containing SQUARE ROOT2,SQUARE ROOT3,SQUARE ROOT5,SQUARE ROOT6,SQUARE ROOT7 andSQUARE ROOT13, the Pythagoras number of the ring of algebraic integers is at least 6. We also provide an upper bound onthe norm and the minimal (codifferent) trace of additively indecomposable integers in some families ofthese fields.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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