Department of Mathematics

Combinatorics and Graph Theory

  •  Bounding Roots of Polynomials
  •  09/12/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Bruce Sagan, Michigan State University

We will present methods for bounding the modulus of the complex roots of a polynomial. These include the Cauchy bound and the use of Newton polynomials, the latter also being useful in interpolation problems. No background outside of elementary calculus will be assumed. In a subsequent talk, we will use these techniques to make progress on a conjecture about the roots of a polynomial of combinatorial interest.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science