Additively indecomposable quadratic forms over totally real number fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00386658" target="_blank" >RIV/68407700:21240/25:00386658 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10509176
Result on the web
<a href="https://doi.org/10.1112/jlms.70350" target="_blank" >https://doi.org/10.1112/jlms.70350</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/jlms.70350" target="_blank" >10.1112/jlms.70350</a>

Result language
angličtina
Original language name
Additively indecomposable quadratic forms over totally real number fields
Original language description
We give an upper bound for the norm of the determinant of additively indecomposable, totally positive definite quadratic forms defined over the ring of integers of totally real number fields. We apply these results to find lower and upper bounds for the minimal ranks of n-universal quadratic forms. For Q(sqrt 2),Q(sqrt 3),Q(sqrt 5),Q(sqrt 6), and Q(sqrt 21), we classify, up to equivalence, all classical, additively indecomposable binary quadratic forms.
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/GN22-11563O" target="_blank" >GN22-11563O: Local-global problems over number fields</a><br>
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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