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

Daniel G. Zhu

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 $m(k)$.

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

Abstract

For a positive integer , let be the minimum positive integer such that can be written as an integer linear combination of th powers of integer polynomials. We correct an error in a 1976 formula of Chinburg and Henriksen for .
Paper Structure (5 sections, 9 equations)

This paper contains 5 sections, 9 equations.

Table of Contents

  1. Preliminaries
  2. Proof of Theorem thm:main for k a multiple of 6
  3. Proof of Theorem thm:main for k not a multiple of 6
  4. Appendix
  5. Acknowledgments

Theorems & Definitions (4)

  • proof
  • proof
  • proof
  • proof