A correction to a result of Chinburg and Henriksen on powers of integer polynomials
Volume 217 / 2025
Acta Arithmetica 217 (2025), 189-196
MSC: Primary 13F20; Secondary 11C08, 11P05
DOI: 10.4064/aa240219-7-10
Published online: 10 January 2025
Abstract
For a positive integer $k$, let $m(k)$ be the minimum positive integer $m$ such that $mx$ can be written as an integer linear combination of $k$th powers of integer polynomials. We correct an error in a 1976 formula of Chinburg and Henriksen for $m(k)$.