Showing 2026Show all
3 papers · 1 filter
math.RA2026
Deriving Newton's Canonical Forms of Cubic Curves via the Center of Polynomials
Hua-Lin Huang, Lili Liao, Yu Ye +1
Existing classifications of real plane cubic curves rely on sophisticated tools and require a lengthy exposition. This paper provides a concise yet elementary treatment of this cla…
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…