Date of Award

2015

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

James Haglund

Abstract

We prove that Garsia and Remmel's q-hit polynomials for Ferrers boards have

only real roots for fixed q > 0. This generalizes previous results by Haglund, Wagner

and Ono [4] and Savage and Visontai [5]. We also extend the main recursion in [5]

to hit polynomials for certain classes of Ferrers boards, which include the multiset

Eulerian polynomials.

Included in

Mathematics Commons

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