A general asymptotic formula for distinct partitions

DOI10.1016/j.aop.2018.03.023zbMath1390.05019arXiv1709.04955OpenAlexW2754447171WikidataQ129901330 ScholiaQ129901330MaRDI QIDQ1647974

Vivien Brunel

Publication date: 27 June 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04955

zbMATH Keywords

asymptoticssaddle-pointinteger partitionsanalytic combinatoricsdistinct partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic enumeration (05A16)

Cites Work

• Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial tribute
• A Hardy-Ramanujan formula for restricted partitions
• On the quantum density of states and partitioning an integer
• Statistical mechanics approach in the counting of integer partitions
• Estimate of the number of restricted integer-partitions
• Asymptotic distribution of the number and size of parts in unequal partitions
• Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams
• Integer partitions and exclusion statistics
• AN ASYMPTOTIC FORMULA IN THE THEORY OF PARTITIONS
• SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS (II)

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