Partitions and the maximal excludant

DOI10.37236/8736zbMath1467.05018arXiv1905.06304OpenAlexW3178517900MaRDI QIDQ2040012

Shane Chern

Publication date: 6 July 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06304

zbMATH Keywords

generating functionmaximal excludant of an integer partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

Combinatorial perspectives on the Crank and mex partition statistics ⋮ Minimal excludant over partitions into distinct parts ⋮ A new generalization of the minimal excludant arising from an analogue of Franklin's identity

Cites Work

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• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• The expected number of parts in a partition of n
• Partitions and the minimal excludant
• A Tauberian theorem for partitions

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