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math.PR2016
On random partitions induced by random maps
Dmitry Krachun, Yuri Yakubovich
The lattice of the set partitions of ordered by refinement is studied. Given a map , by taking preimages of elements we construct a partition of …
math.NT2016★ 1 cited
On sums of triangular numbers
Dmitry Krachun
We study decompositions of natural numbers into triangular summands. For instance, we prove that any natural number can be represented as a sum of four triangular numbers, two of t…