2 citations to https://www.mathnet.ru/eng/sigma1405
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D. Gomez-Ullate, Y. Grandati, R. Milson, “Complete classification of rational solutions of $A_{2n}$-Painleve systems”, Adv. Math., 385 (2021), 1077707
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Clarkson P.A. Gomez-Ullate D. Grandati Y. Milson R., “Cyclic Maya Diagrams and Rational Solutions of Higher Order Painleve Systems”, Stud. Appl. Math., 144:3 (2020), 357–385