The Waring rank of binary binomial forms

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The Waring rank of binary binomial forms. / Moncusi, Laura Brustenga, I; Masuti, Shreedevi K.

In: Pacific Journal of Mathematics, Vol. 313, No. 2, 2021, p. 327-342.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Moncusi, LBI & Masuti, SK 2021, 'The Waring rank of binary binomial forms', Pacific Journal of Mathematics, vol. 313, no. 2, pp. 327-342. https://doi.org/10.2140/pjm.2021.313.327

APA

Moncusi, L. B. I., & Masuti, S. K. (2021). The Waring rank of binary binomial forms. Pacific Journal of Mathematics, 313(2), 327-342. https://doi.org/10.2140/pjm.2021.313.327

Vancouver

Moncusi LBI, Masuti SK. The Waring rank of binary binomial forms. Pacific Journal of Mathematics. 2021;313(2):327-342. https://doi.org/10.2140/pjm.2021.313.327

Author

Moncusi, Laura Brustenga, I ; Masuti, Shreedevi K. / The Waring rank of binary binomial forms. In: Pacific Journal of Mathematics. 2021 ; Vol. 313, No. 2. pp. 327-342.

Bibtex

@article{260db85c403c4cf6a216f4ade9a8d65d,
title = "The Waring rank of binary binomial forms",
abstract = "We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms.",
keywords = "Waring problem, Sylvester algorithm, perp ideal, Hilbert function, secant varieties, apolarity theory",
author = "Moncusi, {Laura Brustenga, I} and Masuti, {Shreedevi K.}",
year = "2021",
doi = "10.2140/pjm.2021.313.327",
language = "English",
volume = "313",
pages = "327--342",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "Mathematical Sciences Publishers",
number = "2",

}

RIS

TY - JOUR

T1 - The Waring rank of binary binomial forms

AU - Moncusi, Laura Brustenga, I

AU - Masuti, Shreedevi K.

PY - 2021

Y1 - 2021

N2 - We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms.

AB - We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms.

KW - Waring problem

KW - Sylvester algorithm

KW - perp ideal

KW - Hilbert function

KW - secant varieties

KW - apolarity theory

U2 - 10.2140/pjm.2021.313.327

DO - 10.2140/pjm.2021.313.327

M3 - Journal article

VL - 313

SP - 327

EP - 342

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -

ID: 284770163