On distinct unit generated fields that are totally complex
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00219587" target="_blank" >RIV/68407700:21340/15:00219587 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/15:00219587
Result on the web
<a href="http://dx.doi.org/10.1016/j.jnt.2014.09.029" target="_blank" >http://dx.doi.org/10.1016/j.jnt.2014.09.029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2014.09.029" target="_blank" >10.1016/j.jnt.2014.09.029</a>
Alternative languages
Result language
angličtina
Original language name
On distinct unit generated fields that are totally complex
Original language description
We consider the problem of characterizing all number fields $K$ such that all algebraic integers $alphain K$ can be written as the sum of distinct units of $K$. We extend a method due to Thuswaldner and Ziegler [12] that previously did not work for totally complex fields and apply our results to the case of totally complex quartic number fields.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-03538S" target="_blank" >GA13-03538S: Algorithms, Dynamics and Geometry of Numeration systems</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Number Theory
ISSN
0022-314X
e-ISSN
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Volume of the periodical
148
Issue of the periodical within the volume
March
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
311-327
UT code for WoS article
000346218500020
EID of the result in the Scopus database
2-s2.0-84910003794