On the size of roots of a family of polynomials related to linear recurrence sequences

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50021122" target="_blank" >RIV/62690094:18470/23:50021122 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11139-022-00691-0" target="_blank" >https://link.springer.com/article/10.1007/s11139-022-00691-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11139-022-00691-0" target="_blank" >10.1007/s11139-022-00691-0</a>

Result language
angličtina
Original language name
On the size of roots of a family of polynomials related to linear recurrence sequences
Original language description
In recent years, many authors studied the arithmetic, analytic and geometric aspects of roots of characteristic polynomials of some linear recurrence sequences. Many of these polynomials are particular cases of the three-parameter family fk,p,q(x) = xk- pxk-1- qx- 1 , for non-negative integers k, p and q, with k≥ 3 and p≥ 1. In this work, we prove some properties related to the roots of the polynomial fk,p,q(x) which, for instance, make their applications possible in a large class of Diophantine problems.
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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