Closed formula for the capacity of several aligned segments

We present a closed formula for the Log-capacity of several segments lying on a line, given in terms of theta constants. For two segments, such a formula was obtained by N. I. Akhiezer in 1930-ies, for three segments – by A. Sebbar and T. Faliero in the early 2000s. We obtained the general formula. This is a joint work with Oleg Grigoriev (INM RAS).