The Waring Rank of Ternary Cubic Forms
We provide conditions on the coefficients of a ternary cubic form that determine its Waring rank.
math.AC↗
arXiv subjects
Publications and source records attributed to Gary Brookfield.
We provide conditions on the coefficients of a ternary cubic form that determine its Waring rank.
We discuss various necessary and sufficient conditions for the complete reducibility of a ternary cubic form. In doing so, we prove the claim made in the 19th century that such a form is completely reducible if and only if its Hessian is a multiple of itself.