The asymptotic number of weighted partitions with a given number of parts

DOI10.1007/s11139-020-00350-2zbMath1491.11093OpenAlexW3129608067MaRDI QIDQ2115266

Dudley Stark

Publication date: 15 March 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00350-2

zbMATH Keywords

asymptotic analysisweighted partitionbivariate generating functionMeinardus' method

Mathematics Subject Classification ID

Analytic theory of partitions (11P82)

Cites Work

• A Meinardus theorem with multiple singularities
• Limit theorems for the number of parts in a random weighted partition
• Asymptotic formula for a partition function of reversible coagulation-fragmentation processes
• Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration
• Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof
• Asymptotische Aussagen über Partitionen
• ASYMPTOTIC ENUMERATION AND LOGICAL LIMIT LAWS FOR EXPANSIVE MULTISETS AND SELECTIONS
• Limit theorems for the number of summands in integer partitions
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