Asymptotics of commuting \(\ell\)-tuples in symmetric groups and log-concavity

DOI10.1007/S40993-024-00562-1MaRDI QIDQ6631476

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Publication date: 1 November 2024

Published in: Research in Number Theory (Search for Journal in Brave)

zbMATH Keywords

generating functionssymmetric grouplog-concavitypartition numbers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Cites Work

• Title not available (Why is that?)
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• Maximal multiplicative properties of partitions
• Log-concavity of the partition function
• On the Euler number of an orbifold
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Orbifold Euler characteristics and the number of commuting \(m\)-tuples in the symmetric groups
• Subgroup growth.
• A formal identity involving commuting triples of permutations
• Turán inequalities for the plane partition function
• Log-concavity of infinite product generating functions
• Asymptotische Aussagen über Partitionen
• Inequalities for plane partitions
• Unimodality, log-concavity, real-rootedness and beyond
• On the number of connected and disconnected coverings over a manifold
• Jensen polynomials for the Riemann zeta function and other sequences
• On the number of $n$-dimensional representations of $\operatorname{SU}(3)$, the Bernoulli numbers, and the Witten zeta function
• On some problems of a statistical group-theory. IV
• An asymptotic formula for the number of \(n\)-dimensional representations of \(\mathrm{SU}(3)\)
• A bijection for tuples of commuting permutations and a log-concavity conjecture
• Asymptotic expansions for partitions generated by infinite products

Related Items (1)

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