Maximum Waring Ranks of Monomials and Sums of Coprime Monomials

Erik Holmes; Paul Plummer; Jeremy Siegert; Zach Teitler

Maximum Waring Ranks of Monomials and Sums of Coprime Monomials

Erik Holmes
, Paul Plummer
, Jeremy Siegert
, Zach Teitler

Mathematics Department

University of Hawaii at Manoa
University of Oklahoma
George Washington University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

11 Downloads (Pure)

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 language	American English
Journal	Communications in Algebra
State	Published - 3 Jun 2016

Keywords

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

EGS Disciplines

Mathematics

Access to Document

Maximum Waring Ranks of Monomials and Sums of Coprime MonomialsFinal published version, 147 KBLicense: Unspecified

Cite this

@article{431c726b34ef49d5b7a741357f7ac227,

title = "Maximum Waring Ranks of Monomials and Sums of Coprime Monomials",

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.",

keywords = "Waring problem for homogeneous polynomials, Waring rank, maximum Waring rank, upper bounds for Waring rank",

author = "Erik Holmes and Paul Plummer and Jeremy Siegert and Zach Teitler",

year = "2016",

month = jun,

day = "3",

language = "American English",

}

TY - JOUR

T1 - Maximum Waring Ranks of Monomials and Sums of Coprime Monomials

AU - Holmes, Erik

AU - Plummer, Paul

AU - Siegert, Jeremy

AU - Teitler, Zach

PY - 2016/6/3

Y1 - 2016/6/3

N2 - 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.

AB - 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.

KW - Waring problem for homogeneous polynomials

KW - Waring rank

KW - maximum Waring rank

KW - upper bounds for Waring rank

UR - https://scholarworks.boisestate.edu/math_facpubs/190

M3 - Article

SN - 0092-7872

JO - Communications in Algebra

JF - Communications in Algebra

ER -

Maximum Waring Ranks of Monomials and Sums of Coprime Monomials

Abstract

Keywords

EGS Disciplines

Access to Document

Other files and links

Fingerprint

Cite this