Additive structure of totally positive quadratic integers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420802" target="_blank" >RIV/00216208:11320/20:10420802 - isvavai.cz</a>
Alternative codes found
RIV/60461373:22340/19:43918395
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FkNCQ0D2-J" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FkNCQ0D2-J</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00229-019-01143-8" target="_blank" >10.1007/s00229-019-01143-8</a>

Result language
angličtina
Original language name
Additive structure of totally positive quadratic integers
Original language description
LetK=Q(D)documentclass be a real quadratic field. We consider the additive semigroupOK+(+)documentclass of totally positive integers inKand determine its generators (indecomposable integers) and relations; they can be nicely described in terms of the periodic continued fraction forDdocumentclass. We also characterize all uniquely decomposable integers inKand estimate their norms. Using these results, we prove that the semigroupOK+(+)documentclass completely determines the real quadratic fieldK.
Czech name
—
Czech description
—

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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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