Year: 2026
Type: preprint
Abstract: 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 problems into membership questions for regions bounded by a hypocycloid and an epicycloid. We further provide a computable algebraic criterion for the relevant memberships, which involves only the signs of certain real-valued resultants.
Source: arXiv (Cornell University)
Authors: Huang, Hua-Lin, Liu, Yiming, Tang, Yilun
Institution: Huaqiao University
Language: English
Subfield: Computational Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221782693