The Waring rank of binary binomial forms

Abstract

We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms.

arXiv comment15 pages. Substantial overlap with arXiv:1901.08320

References in corpus (4)

• Computing symmetric rank for symmetric tensors
• Waring loci and the Strassen conjecture
• Four lectures on secant varieties
• Sufficient conditions for Strassen's additivity conjecture