BEGIN:VCALENDAR PRODID:-//Department of Mathematics and Statistics//Events Calendar//EN VERSION:2.0 CALSCALE:GREGORIAN BEGIN:VEVENT DTSTAMP:20200602T190956Z DTSTART:20190121T183000Z DTEND:20190121T193000Z SUMMARY:Number Theory Seminar DESCRIPTION:Presented by: Karl Dilcher\nTitle: “Zeros and irreducibility of some classes of special polynomials”\nAbstract: \nIn the first part of this talk I will define a sequence of polynomials resembling the Chebyshev polynomials of the first kind\, and present results on their irreducibility and zero distribution. I will also consider $2\\times 2$ Hankel determinants of these polynomials\, which have interesting zero distributions. Furthermore\, if these polynomials are split into two halves\, then the zeros of one half lie in the interval $(-1\,1)$\, while those of the other half lie on the unit circle.\nIf time allows\, I will also talk about various other number theoretic polynomials\, in particular polynomials with gcd powers a coefficients\, and once again consider their irreducibility and zero distribution. LOCATION:#319 Colloquium Room\, Chase Building URL: UID: END:VEVENT END:VCALENDAR