Applications of the Wulff construction to the number theory
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VII, Tome 292 (2002), pp. 153-160

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We apply the geometric construction of solutions of some variational problems of combinatorics to estimate the number of partitions and of plane partitions of an integer.
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S. Shlosman. Applications of the Wulff construction to the number theory. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VII, Tome 292 (2002), pp. 153-160. http://geodesic.mathdoc.fr/item/ZNSL_2002_292_a8/