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Arithmetic problems of combinatorial analysis. (English. Russian original) Zbl 0831.05006
Math. Notes 55, No. 2, 173-177 (1994); translation from Mat. Zametki 55, No. 2, 102-108 (1994).
The author studies permutations of $${\mathcal S}_n$$ with given cyclic structure. He estimates some arithmetic functions connected with the sets determining this cyclic structure. The number of solutions of a given equation, the number of equivalence classes of binary $$m \times n$$ matrices, etc. are dealt with.
Reviewer: N.L.Manev (Sofia)
##### MSC:
 05A15 Exact enumeration problems, generating functions 05A16 Asymptotic enumeration
##### Keywords:
permutations; arithmetic functions; cyclic structure
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##### References:
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