Colin Tan

activity

20142026

most citedCharacterization of polynomials whose large powers have all positive coefficients

1 citations · 1 across the 10 of their papers we have counts for

collaborators

Showing 2026 · math.AGShow all

2 papers · 2 filters

math.AG2026

A degree-linear upper bound for the Pólya exponent of forms with fixed arity

Yulong Li, Colin Tan

Let $P = \sum_{ω} a_{ω} x^{ω}$ be a degree $d$ homogeneous polynomial in $x_{0}, \dots, x_{n}$ with real coefficients. Pólya showed that, if $P$ is strictly positive on the standard $n$ -simpl…

math.AG2026

Positivity of polynomials on the nonnegative part of certain affine hypersurfaces

Colin Tan, Wing-Keung To

We consider polynomials on the intersection of the closed positive orthant with the height- $1$ level hypersurface of certain polynomials with positive coefficients. We show that an…