3 papers
math.CA2023
Hausdorff measure of zeros of polynomials
Andrew Murdza, Khai T. Nguyen, Etienne Phillips
The paper provides an elementary proof establishing a sharp universal bound on the -Hausdorff measure of the zeros of any nontrivial multivariable polynomial $p:\mathbb{R}^d…
math.CO2023
Multivariate Fibonacci-like Polynomials and their Applications
Sejin Park, Etienne Phillips, Peikai Qi +2
The Fibonacci polynomials are defined recursively as , where and . We generalize these polynomials to an arbitrary number o…
math.CO2023
On ranked and bounded Kohnert posets
Laura Colmenarejo, Felix Hutchins, Nicholas Mayers +1
In this paper, we explore combinatorial properties of the posets associated with Kohnert polynomials. In particular, we determine a sufficient condition guaranteeing when such ``Ko…