Let Πn = Πn(it, cosα), where n ≧ 2 is an integer, t ≠ 0 is real and 0 ≦ α ≦ π, be the class of trigonometrical polynomials Φn with real coefficients and of order ≦ n, such that |Φn(x)| ≦ 1 for all ...

We study an infinite family of lower and upper bounds on the modulus of zeros of complex polynomials derived by Kalantari. We first give a simple characterization of these bounds which leads to an ...

Certain quantum phases, such as topological order, are notoriously difficult for computers to identify. The challenge grows with the correlation length, a measure of how far the p ...