A Positivstellensatz for forms on the positive orthant

Claus Scheiderer, Colin Tan

Let $p$ be a nonconstant form in $\mathbb{R}[x_1,\dots ,x_n]$ with $p(1,\dots ,1)>0$. If $p^m$ has strictly positive coefficients for some integer $m\ge 1$, we show that $p^m$ has str…