Asymptotics of reciprocal supernorm partition statistics

DOI10.1007/S11139-024-00893-8MaRDI QIDQ6624933

Chenyang Sun, Jeffrey C. Lagarias

Publication date: 28 October 2024

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

zbMATH Keywords

asymptotic estimatesinteger partitionsEuler's constantMertens theoremspartition norm

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Cites Work

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• Arithmetic of partitions and the $q$-bracket operator
• The product of parts or "norm" of a partition
• New estimates for the $n$th prime number
• On reciprocally weighted partitions
• Asymptotic formulae in combinatory analysis.
• Characterizing the supernorm partition statistic

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