Minimal excludant over partitions into distinct parts

DOI10.1142/S1793042122501032zbMath1498.11206arXiv2105.13875OpenAlexW3171526698WikidataQ114071795 ScholiaQ114071795MaRDI QIDQ5094203

Subhash Chand Bhoria, Prabh Simrat Kaur, Pramod Eyyunni, Bibekananda Maji

Publication date: 2 August 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13875

zbMATH Keywords

asymptotic formulaminimal excludantMEXdistinct parts partitionmaximal excludant

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items (2)

A refinement of a result of Andrews and Newman on the sum of minimal excludants ⋮ A new generalization of the minimal excludant arising from an analogue of Franklin's identity

Cites Work

• Analysis of some new partition statistics
• Ramanujan's lost notebook. V: Euler's partition identity
• Partitions and indefinite quadratic forms.
• Partitions and the minimal excludant
• Partitions and the maximal excludant
• On mex-related partition functions of Andrews and Newman
• A Tauberian theorem for partitions
• Combinatorial proof of the minimal excludant theorem
• Questions and Conjectures in Partition Theory
• On a Weighted Spin of the Lebesgue Identity
• Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
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