On the Arithmetic Behavior of Liouville Numbers Under Rational Maps
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50017295" target="_blank" >RIV/62690094:18470/21:50017295 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00574-020-00232-7" target="_blank" >https://link.springer.com/article/10.1007/s00574-020-00232-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00574-020-00232-7" target="_blank" >10.1007/s00574-020-00232-7</a>
Alternative languages
Result language
angličtina
Original language name
On the Arithmetic Behavior of Liouville Numbers Under Rational Maps
Original language description
In 1972, Alniacik proved that every strong Liouville number is mapped into the set of U-m-numbers, for any non-constant rational function with coefficients belonging to an m-degree number field. In this paper, we generalize this result by providing a larger class of Liouville numbers (which, in particular, contains the strong Liouville numbers) with this same property (this set is sharp is a certain sense).
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
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bulletin of the Brazilian Mathematical Society, New Series
ISSN
1678-7544
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
11
Pages from-to
803-813
UT code for WoS article
000585786700001
EID of the result in the Scopus database
2-s2.0-85095426747