B. Reznick

activity

20002020

most citedOn Hilbert's construction of positive polynomials

42 citations · 79 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 1 cited

A note on mediated simplices

Victoria Powers, Bruce Reznick

Many homogeneous polynomials that arise in the study of sums of squares and Hilbert's 17th problem come from monomial substitutions into the arithmetic-geometric inequality. In 198…

math.NT2019

Linearly dependent powers of binary quadratic forms

Bruce Reznick

Given an integer $d \geq 2$ , what is the least $r$ so that there is a set of binary quadratic forms ${f_{1}, \dots, f_{r}}$ for which ${f_{j}^{d}}$ is non-trivially linearly dependent? We…

math.CO2019

Sparse Versions of the Cayley-Bacharach Theorem

Laura Felicia Matusevich, Bruce Reznick

We give combinatorial generalizations of the Cayley-Bacharach theorem and induced map.