The digraphs of permutation polynomials in the form ax^k+b and ax^k using the field Zp are being studied during this thesis. I will be testing to see how changes to constants, exponents, and coefficients affect the digraphs of these permutation polynomials. Using previous work from scholarly articles as well as my own experimentation with the effects of certain changes to polynomial functions, I have devised several theorems and lemmas that will increase the understanding of permutation polynomials.

Last modified

• 06/13/2023

Creator

• Coombes, Christian

Contributors

• Dawn Nelson, Ph.D., Thesis Advisor

Subject

• Mathematics

Publisher

• Saint Peter's University

Date created

• Spring 2023

Resource type

• Research Paper

Rights statement

• In Copyright