Sums of squares in S-integers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420801" target="_blank" >RIV/00216208:11320/20:10420801 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=p0w723.hlD" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=p0w723.hlD</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Sums of squares in S-integers
Original language description
In totally real number fields, we characterize the rings of S-integers (obtained by inverting a rational integer m) such that all their totally positive elements are represented as a sum of squares. We further obtain partial answers to the question: when are all the totally positive algebraic integers that are divisible by m represented as a sum of squares?
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
New York Journal of Mathematics
ISSN
1076-9803
e-ISSN
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Volume of the periodical
2020
Issue of the periodical within the volume
26
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
1145-1154
UT code for WoS article
000575179200001
EID of the result in the Scopus database
2-s2.0-85097834420