Maximum Waring Ranks of Monomials and Sums of Coprime Monomials

Erik Holmes, Paul Plummer, Jeremy Siegert, Zach Teitler

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We show that monomials and sums of pairwise coprime monomials in four or more variables have Waring rank less than the generic rank, with a short list of exceptions. We asymptotically compare their ranks with the generic rank.

Original languageAmerican English
JournalMathematics Faculty Publications and Presentations
StatePublished - 3 Jun 2016

Keywords

  • Waring problem for homogeneous polynomials
  • Waring rank
  • maximum Waring rank
  • upper bounds for Waring rank

EGS Disciplines

  • Mathematics

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