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

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Showing 2017Show all

3 papers · 1 filter

math.AG2017

Archimedean Representation Theorem for modules over a commutative ring

Colin Tan

Pólya's Positivstellensatz and Handelman's Positivstellensatz are known to be concrete instances of the abstract Archimedean Representation Theorem for (commutative unital) rings.…

math.CV2017★ 1 cited

Characterization of polynomials whose large powers have all positive coefficients

Colin Tan, Wing-Keung To

We give a criterion which characterizes a homogeneous real multi-variate polynomial to have the property that all sufficiently large powers of the polynomial (as well as their prod…

math.AG2017

A Positivstellensatz for forms on the positive orthant

Claus Scheiderer, Colin Tan

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