2018/03/26 by Agler, Jim, McCarthy, John E.
#30C50 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1803.09718
We show that if the minimum entropy for a polynomial with roots on the unit circle is attained by polynomials with equally spaced roots, then, under a generic hypothesis about the nature of the extremum, the Krzyz conjecture on the maximum modulus of the Taylor coefficients of a holomorphic function that maps the disk to the punctured disk is true.