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

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
On the size of roots of a family of polynomials related to linear recurrence sequences
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
On the size of roots of a family of polynomials related to linear recurrence sequences
Popis výsledku anglicky
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.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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