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« Collatz Polynomials: an Introduction with Bounds on their Zeros

Collatz Polynomials: an Introduction with Bounds on their Zeros

February 20, 2020, 5:00 PM - 6:00 PM

Location:

Conference Room 705

Rutgers University

Hill Center

110 Frelinghuysen Rd

Piscataway, NJ 08854

Matthew Hohertz, Rutgers University

In this talk we consider Collatz polynomials. In particular, we bound the moduli of the roots of these polynomials using a determinantal approach, prove theorems on when these polynomials have rational integer roots, and suggest further applications and avenues of research.