3 papers
math.RA2026
On the Real Waring Rank of a Biharmonic Form
Hua-Lin Huang, Yiming Liu, Yilun Tang
We develop an effective method for determining the real Waring rank and the real border rank of biharmonic binary forms. By means of real apolarity, we convert both of these proble…
math.NT2026
The Waring Problem of Harmonic Polynomials
Hua-Lin Huang, Yilun Tang, Yu Ye +1
This paper investigates the Waring problem of harmonic polynomials. By characterizing the annihilating ideal of a homogeneous harmonic polynomial, i.e., a real binary form that is…
math.NT2025
The Waring Problem of Complex Binary Forms
Hua-Lin Huang, Haoran Miao, Yu Ye
The Waring problem of forms concerns the expression of homogeneous multivariate polynomials as sums of powers of linear forms. This paper focuses on complex binary forms, and we so…