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A correction to a result of Chinburg and Henriksen on powers of integer polynomials

Volume 217 / 2025

Daniel G. Zhu 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 $m(k)$.

Authors

  • Daniel G. ZhuDepartment of Mathematics
    Princeton University
    Princeton, NJ 08544, USA
    e-mail

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