Asymptotics with remainder term for moments of the total cycle number of random A-permutation.

Autor: Yakymiv, Arsen L.
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Zdroj: Discrete Mathematics & Applications; Feb2021, Vol. 31 Issue 1, p51-60, 10p
Abstrakt: Dedicated to the memory of Alexander Ivanovich Pavlov. We consider the set of n-permutations with cycle lengths belonging to some fixed set A of natural numbers (so-called A-permutations). Let random permutation τn be uniformly distributed on this set. For some class of sets A we find the asymptotics with remainder term for moments of total cycle number of τn. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index