Asymptotic expression for raw moment of the multiplicity of a part in a general partition function

DOI10.1016/S0034-4877(21)00085-9OpenAlexW4200389698MaRDI QIDQ2067428

Abhimanyu Kumar

Publication date: 18 January 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(21)00085-9

zbMATH Keywords

partitionsAbel's summation formulaMeinardus' theoremraw moments

Mathematics Subject Classification ID

Statistics (62-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Enumeration of octagonal tilings
• The number of distinct part sizes in a random integer partition
• Partition functions for higher-spin theories in AdS
• Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions
• Multiplicity and number of parts in overpartitions
• Estimating the asymptotics of solid partitions
• Abel's lemma on summation by parts and basic hypergeometric series
• Infinite products, partition functions, and the Meinardus theorem
• A multiple Abel summation formula and asymptotic evaluations for multiple sums
• Fixed-boundary octagonal random tilings: A combinatorial approach

This page was built for publication: Asymptotic expression for raw moment of the multiplicity of a part in a general partition function