On the number of conjugate classes of derangements

DOI10.1155/2021/6023081zbMath1477.11179OpenAlexW3210537088MaRDI QIDQ2051668

Jia-Bao Liu, Wen-Wei Li, Zhong-Lin Cheng

Publication date: 24 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6023081

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Uses Software

• DLMF
• OEIS

Cites Work

• \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey
• A simplified proof of the partition formula
• An elementary derivation of the asymptotics of partition functions
• Generalized congruence properties of the restricted partition function \(p(n,m)\)
• Some restricted partition functions: Congruences modulo 3
• \(\ell\)-adic properties of partition functions
• On an elementary proof of some asymptotic formulas in the theory of partitions
• A Tauberian theorem for partitions
• Weighted restricted partitions
• A Note on Congruence Properties of Certain Restricted Partitions
• Congruence Properties of Certain Restricted Partitions
• RAMANUJAN'S CONGRUENCES FOR THE PARTITION FUNCTION MODULO 5, 7, AND 11
• On congruence properties of 𝑝(𝑛,𝑚)
• Some Restricted Partition Functions: Congruences Modulo 5
• Some Restricted Partition Functions: Congruences Modulo 7
• The Evaluation of the Constant in the Formula for the Number of Partitions of n
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