Three problems for polynomials of small measure
In a previous article we studied the spectrum of the Zhang-Zagier height [2]. The progress we made stood on an algorithm that produced polynomials with a small height. In this paper we describe a new algorithm that provides even smaller heights. It allows us to find a limit point less than i.e. better than the previous one, namely . After some definitions we detail the principle of the algorithm, the results it gives and the construction that leads to this new limit point.