Showing math.AGShow all
2 papers · 1 filter
math.AG2003
On the absence of uniform denominators in Hilbert's 17th problem
Bruce Reznick
Hilbert showed that for most there exist psd forms of degree which cannot be written as a sum of squares of forms. His 17th problem asked whether, in t…
math.AG2001
Patterns of dependence among powers of polynomials
Bruce Reznick
Let F = {f_1,...,f_r} be a family of polynomials and let the ticket of F, T(F), denote the set of integers m so that is linearly dependent. We show that |T(F)| \le (r-1)(…