On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system
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equilibriumequivalenceformingfunctionsnikishinpairproblemsscalar
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We prove the equivalence of the vector and scalar equilibrium problems which arise naturally in the study of the limit zeros distribution of type I Hermite--Pad\'e polynomials for a pair of functions forming a Nikishin system.
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