Lab Lunch: 24 November 2020 - Kyriakos Kalorkoti Title: Expected Number of Roots of Littlewood Polynomials Around $\pm1$ Abstract: We consider Littlewood polynomials drawn uniformly at random and provide upper bounds for the expected number of roots in disks centred at $\pm1$. In particular the expected number for polynomials of degree~$n$ in a disk of radius O(1/n) is bounded by a constant (depending on the radius constant). For larger discs we cannot expect such a result as indicated by a theorem of Borwein and Littmann. Nov 24 2020 13.00 - 14.00 Lab Lunch: 24 November 2020 - Kyriakos Kalorkoti Speaker: Kyriakos Kalorkoti Blackboard Collaborate Invitation Only
Lab Lunch: 24 November 2020 - Kyriakos Kalorkoti Title: Expected Number of Roots of Littlewood Polynomials Around $\pm1$ Abstract: We consider Littlewood polynomials drawn uniformly at random and provide upper bounds for the expected number of roots in disks centred at $\pm1$. In particular the expected number for polynomials of degree~$n$ in a disk of radius O(1/n) is bounded by a constant (depending on the radius constant). For larger discs we cannot expect such a result as indicated by a theorem of Borwein and Littmann. Nov 24 2020 13.00 - 14.00 Lab Lunch: 24 November 2020 - Kyriakos Kalorkoti Speaker: Kyriakos Kalorkoti Blackboard Collaborate Invitation Only
Nov 24 2020 13.00 - 14.00 Lab Lunch: 24 November 2020 - Kyriakos Kalorkoti Speaker: Kyriakos Kalorkoti
