14 citations · 66 across the 17 of their papers we have counts for
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math.CV2015★ 3 cited
Capacity of several aligned segments
Andrei B. Bogatyrev, Oleg A. Grigoriev
In this note we present a universal formula in terms of theta functions for the Log- capacity of several segments on a line. The case of two segments was studied by N.I.Akhiezer (1…
math.CV2015★ 3 cited
How many Zolotarev fractions are there?
Andrei Bogatyrev
Known properties of Chebyshev polynomials are the following: they have simple critical points with only two (finite) critical values. Those properties uniquely determine the named…
cond-mat.mes-hall2015★ 1 cited
Magnetic states in multiply-connected flat nano-elements
Andrei B. Bogatyrev, Konstantin L. Metlov
Flat magnetic nano-elements are an essential component of current and future spintronic devices. By shaping an element it is possible to select and stabilize chosen metastable magn…