On the generalization of the scalar approach to the problem of a limit distribution of zeros of Hermite-Pade polynomials for a Nikishin system

I will discuss one generalization of the new scalar approach to the problem of a limit distribution of zeros of Hermite-Padé polynomials for a Nikishin system proposed by Sergey Suetin in 2018; it consists in extension of one for the wider class of functions and is formulated in the terminology of the potential problem stated on a Riemann surface of positive genus with respect to the new class of kernels introduced by Evgeniy Chirka in 2019.