On Complex Pisot Numbers That Are Roots of Borwein Trinomials

被引：0

作者：

Drungilas, Paulius ^{[1
]}

Jankauskas, Jonas ^{[1
]}

Junevicius, Grintas ^{[1
]}

机构：

[1] Vilnius Univ, Inst Math, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania

来源：

MATHEMATICS | 2024年 / 12卷 / 08期

关键词：

Borwein trinomial; complex Pisot number; unimodular number; root of unity; MAHLER MEASURES; SALEM-NUMBERS; POWERS; SEQUENCES;

D O I：

10.3390/math12081129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let n> m be positive integers. Polynomials of the form z(n )+/- z(m )+/- 1 are called Borwein trinomials. Using an old result of Bohl, we derive explicit formulas for the number of roots of a Borwein trinomial inside the unit circle |z|<1. Based on this, we determine all Borwein trinomials that have a complex Pisot number as a root. There are exactly 29 such trinomials.

引用

页数：10

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