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Incompatibility of Diophantine Equations Arising from the Strong Factorial Conjecture

Posted on:2016-05-06Degree:Ph.DType:Dissertation
University:Washington University in St. LouisCandidate:Rocks, Brady JFull Text:PDF
GTID:1470390017478852Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Conjecture
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