3 papers
math.RA2026
Direct Sum and Direct Product Decompositions of Multivariate Functions
Hua-Lin Huang, Yiming Liu, Jianhua Xiang +1
This paper addresses the problem of whether or not a vector-valued multivariate functions can be expressed as a sum or a product of vector-valued functions in disjoint sets of vari…
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…