Partition identities. II: The results of Bateman and Erdős

DOI10.1016/j.jnt.2005.06.011zbMath1087.03019OpenAlexW2109859367MaRDI QIDQ2490153

Jason P. Bell, Stanley N. Burris

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.06.011

zbMATH Keywords

\(k\)th differenceCount functionPartition identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Asymptotic enumeration (05A16) Model theory of finite structures (03C13) Analytic theory of partitions (11P82)

Cites Work

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• Partition identities. I: Sandwich theorems and logical 0-1 laws
• Sufficient conditions for zero-one laws
• Monotonicity of partition functions
• Singularity Analysis of Generating Functions
• A General Asymptotic Result for Partitions
• Asymptotics for logical limit laws: When the growth of the components is in an RT class
• A General Asymptotic Formula for Partition Functions
• On a Certain Weighted Partition Function
• A proof of a partition conjecture of Bateman and Erdős.

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