Geodesic
Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System
Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 904-916

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We prove the equivalence of a vector and a scalar equilibrium problem that naturally arise when studying the limit distribution of zeros of type I Hermite–Padé polynomials for a pair of functions forming a Nikishin system.
Keywords: Nikishin system, Hermite–Padé polynomials, equilibrium problem, potential theory, Riemann surface. 
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     author = {S. P. Suetin},
     title = {Equivalence of a {Scalar} and a {Vector} {Equilibrium} {Problem} for a {Pair} of {Functions} {Forming} a {Nikishin} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {904--916},
     publisher = {mathdoc},
     volume = {106},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a10/}
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S. P. Suetin. Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 904-916. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a10/