On the exceptional set of transcendental entire functions in several variables

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021862" target="_blank" >RIV/62690094:18470/24:50021862 - isvavai.cz</a>
Result on the web
<a href="https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-the-exceptional-set-of-transcendental-entire-functions-in-several-variables/882C802D41EC01CF48CB6AC89E4FD460" target="_blank" >https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-the-exceptional-set-of-transcendental-entire-functions-in-several-variables/882C802D41EC01CF48CB6AC89E4FD460</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0004972723001041" target="_blank" >10.1017/S0004972723001041</a>

Result language
angličtina
Original language name
On the exceptional set of transcendental entire functions in several variables
Original language description
We prove that any subset of Qm (closed under complex conjugation and which contains the origin) is the exceptional set of uncountably many transcendental entire functions over Cm with rational coefficients. This result solves a several variables version of a question posed by Mahler for transcendental entire functions [Lectures on Transcendental Numbers, Lecture Notes in Mathematics, 546 (Springer-Verlag, Berlin, 1976)].
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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