On the arguments of the roots of the generalized Fibonacci polynomial

被引：2

作者：

Alahmadi, Adel ^{[1
]}

Klurman, Oleksiy ^{[2
]}

Luca, Florian ^{[3
,4
]}

Shoaib, Hatoon ^{[1
]}

机构：

[1] King Abdulaziz Univ, Res Grp Algebra Struct & Its Applicat, POB 80200, Jeddah 21589, Saudi Arabia

[2] Univ Bristol, Sch Math, Fry Bldg,Woodland Rd, Bristol BS8 1UG, England

[3] Univ Witwatersrand, Sch Maths, 1 Jan Smuts Ave, ZA-2000 Johannesburg, South Africa

[4] UNAM, Ctr Ciencias Matemat, Morelia, Mexico

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2023年 / 63卷 / 03期

关键词：

zeros of generalized Fibonacci polynomials; ZEROS;

D O I：

10.1007/s10986-023-09604-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We revisit the classical subject of equidistribution of the roots of Littlewood-type polynomials. More precisely, we show that the roots of the family of polynomials & psi;(k)(z) = z(k)-z(k-1)-MIDLINE HORIZONTAL ELLIPSIS-1, k & GT; 1, are uniformly distributed around the unit circle in the strong quantitative form, confirming a conjecture from [C.-A. Gomez and F. Luca, Commentat. Math. Univ. Carol., On the distribution of roots of z(k) - z(k-1)-MIDLINE HORIZONTAL ELLIPSIS-z - 1, 62(3):291-296, 2021].

引用

页码：249 / 253

页数：5

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