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Distributions of reciprocal sums of parts in integer partitions

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Publication:6655393
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DOI10.1016/j.jcta.2024.105982MaRDI QIDQ6655393

Eunmi Kim, Byungchan Kim

Publication date: 23 December 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)




zbMATH Keywords

distributionasymptotic formulainteger partitionsWright's circle methodsum of reciprocal of parts


Mathematics Subject Classification ID

Combinatorics (05-XX) Number theory (11-XX)


Cites Work

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  • Asymptotic analysis. Reprint
  • Integer partitions, probabilities and quantum modular forms
  • The distribution of the number of summands in the partitions of a positive integer
  • Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions
  • A General Asymptotic Scheme for the Analysis of Partition Statistics
  • Random partitions with restricted part sizes
  • The Structure of Random Partitions of Large Integers
  • Introduction to Probability Models
  • Distributions on partitions arising from Hilbert schemes and hook lengths
  • A theorem on partitions
  • STACKS (II)
  • On reciprocally weighted partitions
  • On a Tauberian theorem of Ingham and Euler-Maclaurin summation







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