Abstract
The problem on existence conditions for integrals of the third degree in systems of interacting particles is considered. An explicit form of a class of potentials admitting integrals of the third degree is found, some properties of coefficients of the corresponding Taylor series are also considered.
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Original Russian Text © P.A. Nagaev, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 2, pp. 8–11.
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Nagaev, P.A. Integrals of the third degree in the problem of interacting particles. Moscow Univ. Math. Bull. 63, 44–47 (2008). https://doi.org/10.3103/S0027132208020022
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DOI: https://doi.org/10.3103/S0027132208020022