Closed formula for the capacity of several aligned segments


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We present a universal closed formula in terms of theta functions for the Logcapacity of several segments on a line. The formula for two segments was obtained by N. Achieser (1930); three segments were considered by T. Falliero and A. Sebbar (2001).

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A. Bogatyrev

Institute of Numerical Mathematics; Moscow Institute of Physics and Technology (State University); Moscow State University

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Email: ab.bogatyrev@gmail.com
俄罗斯联邦, ul. Gubkina 8, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701; Moscow, 119991

O. Grigoriev

Institute of Numerical Mathematics

Email: ab.bogatyrev@gmail.com
俄罗斯联邦, ul. Gubkina 8, Moscow, 119333

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