A bijection for tuples of commuting permutations and a log-concavity conjecture

DOI10.1007/S40993-024-00531-8zbMATH Open1540.0501MaRDI QIDQ6543108

Tristan Doan, Philip Velie, Abdelmalek Abdesselam, Pedro Brunialti

Publication date: 24 May 2024

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

zbMATH Keywords

hook formulaEuler productNekrasov-Okounkov formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Special sequences and polynomials (11B83)

Cites Work

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• Towards Heim and Neuhauser's unimodality conjecture on the Nekrasov-Okounkov polynomials
• Horizontal and vertical log-concavity
• Log-concavity in powers of infinite series close to \((1-z)^{-1}\)
• A local injective proof of log-concavity for increasing spanning forests

Related Items (2)

On log-concavity of the number of orbits in commuting tuples of permutations ⋮ Asymptotics of commuting \(\ell\)-tuples in symmetric groups and log-concavity

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