4 papers
math.AG2021
A few more extensions of Putinar's Positivstellensatz to non-compact sets
Paula Escorcielo, Daniel Perrucci
We extend previous results about Putinar's Positivstellensatz for cylinders of type to sets of type in some special cases taking int…
math.AG2019
On sum of squares certificates of non-negativity on a strip
Paula Escorcielo, Daniel Perrucci
A well-known result of Murray Marshall states that every non-negative on the strip can be written as with $…
math.AG2018
A version of Putinar's Positivstellensatz for cylinders
Paula Escorcielo, Daniel Perrucci
We prove that, under some additional assumption, Putinar's Positivstellensatz holds on cylinders of type with $S = \{x \in {\mathbb R}^n | g_1(x) \ge 0, ...,…
math.AC2016
On the Davenport-Mahler bound
Paula Escorcielo, Daniel Perrucci
We prove that the Davenport-Mahler bound holds for arbitrary graphs with vertices on the set of roots of a given univariate polynomial with complex coefficients.