| Title |
On complex Pisot numbers that are roots of Borwein trinomials / |
| Authors |
Drungilas, Paulius ; Jankauskas, Jonas ; Junevičius, Grintas |
| DOI |
10.3390/math12081129 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2024, vol. 12, iss. 8, art. no. 1129, p. [1-10].. eISSN 2227-7390 |
| Keywords [eng] |
Borwein trinomial ; complex Pisot number ; root of unity ; unimodular number |
| Abstract [eng] |
Let (Formula presented.) be positive integers. Polynomials of the form (Formula presented.) 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 (Formula presented.). Based on this, we determine all Borwein trinomials that have a complex Pisot number as a root. There are exactly 29 such trinomials. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
