Legendre-signed partition numbers

DOI10.1016/J.JMAA.2024.128717MaRDI QIDQ6626995

Taylor Daniels

Publication date: 29 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

partitionsmultiplicative functionsLegendre symbol

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55) (zeta (s)) and (L(s, chi)) (11M06) Analytic theory of partitions (11P82)

Cites Work

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• The asymptotic number of weighted partitions with a given number of parts
• Asymptotics and Mellin-Barnes integrals
• Exponential sums with multiplicative coefficients
• Asymptotic formulae in combinatory analysis.
• PARTITIONS INTO PRIME POWERS
• Partitions with multiplicities associated with divisor functions
• Bounds on the Möbius-signed partition numbers
• Asymptotic expansions for partitions generated by infinite products
• Vanishing coefficients in two \(q\)-series related to Legendre-signed partitions

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