Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture

Author

Brady Jacob Rocks, Washington University in St. LouisFollow

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.

Committee Chair

David Wright

Committee Members

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

Comments

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

Degree

Doctor of Philosophy (PhD)

Author's Department

Mathematics

Author's School

Graduate School of Arts and Sciences

Document Type

Dissertation

Date of Award

Spring 5-15-2015

Language

English (en)

DOI

https://doi.org/10.7936/K7BR8QB4

Recommended Citation

Rocks, Brady Jacob, "Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture" (2015). Arts & Sciences Theses and Dissertations. 439.

The definitive version is available at https://doi.org/10.7936/K7BR8QB4