Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture

Author

Brady Jacob Rocks, Washington University in St. LouisFollow

Date of Award

Spring 5-15-2015

Author's School

Graduate School of Arts and Sciences

Author's Department

Mathematics

Degree Name

Doctor of Philosophy (PhD)

Degree Type

Dissertation

Abstract

The Strong Factorial conjecture was recently formulated by Arno van den Essen and Eric Edo. The problem is motivated by several outstanding problems including the Jacobian, Image, and Vanishing conjectures. In this defense, we discuss how the conjecture can be reformulated in terms of systems of integer polynomials and we present several special cases in which the conjecture holds.

Language

English (en)

Chair and Committee

David Wright

Committee Members

Jeff Gill, N. Mohan Kumar, Peter Luthy, John Shareshian

Comments

Permanent URL: https://doi.org/10.7936/K7BR8QB4

Recommended Citation

Rocks, Brady Jacob, "Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture" (2015). Arts & Sciences Electronic Theses and Dissertations. 439.
https://openscholarship.wustl.edu/art_sci_etds/439