Unusual class of polynomials related to partitions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472184" target="_blank" >RIV/00216208:11320/23:10472184 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kUeemY8KzD" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kUeemY8KzD</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11139-023-00739-9" target="_blank" >10.1007/s11139-023-00739-9</a>

Result language
angličtina
Original language name
Unusual class of polynomials related to partitions
Original language description
In this paper, we study, for a given arithmetic function f, the sequence of polynomials ( P-n(f) (t))(n=0)(infinity), defined by the recurrenceUsing the ideas from the paper by Heim, Luca, and Neuhauser, we prove, under some assumptions on P-n(f) (t) for 1 <= n <= 10, that no root of unity can be a root of any polynomial P-n(f) (t) for n is an element of N. Then we specify the result to some functions f related to colored partitions.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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