Polynomials defining many units in function fields
Volume 190 / 2019
Acta Arithmetica 190 (2019), 351-361
MSC: Primary 16U60; Secondary 11R60.
DOI: 10.4064/aa171010-8-10
Published online: 23 July 2019
Abstract
We introduce the notion of polynomials defining units in the case of positive characteristic. We do this by using Carlitz cyclotomic theory. We then describe the polynomials defining infinitely many units, in the spirit of Broche and del Río (2016).