Algebraic periodic points of transcendental entire functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50022471" target="_blank" >RIV/62690094:18470/25:50022471 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S1793042125500472" target="_blank" >https://www.worldscientific.com/doi/10.1142/S1793042125500472</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1793042125500472" target="_blank" >10.1142/S1793042125500472</a>
Alternative languages
Result language
angličtina
Original language name
Algebraic periodic points of transcendental entire functions
Original language description
We prove the existence of transcendental entire functions f having a property studied by Mahler, namely that(Formula presented) and (Formula presented), and in addition having a prescribed number of k-periodic algebraic orbits, for all k ≥ 1. Under a suitable topology, such functions are shown to be dense in the set of all entire transcendental functions.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Number Theory
ISSN
1793-0421
e-ISSN
1793-7310
Volume of the periodical
21
Issue of the periodical within the volume
4
Country of publishing house
SG - SINGAPORE
Number of pages
12
Pages from-to
945-957
UT code for WoS article
001401708700001
EID of the result in the Scopus database
2-s2.0-105001079757