Some generating functions and inequalities for the andrews–stanley partition functions

DOI10.1017/S0013091521000833zbMath1497.11253OpenAlexW4200244960MaRDI QIDQ5065437

Shane Chern, Na Chen, Ernest X. W. Xia, Yan Fan

Publication date: 21 March 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091521000833

zbMATH Keywords

crankrankasymptotic formulapartition inequalitysrankAndrews-Stanley partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

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• Asymptotics for the Fourier coefficients of eta-quotients
• On a partition function of Richard Stanly
• Some remarks on sign-balanced and maj-balanced posets
• Dissecting the Stanley partition function
• The Andrews-Stanley partition function and $p(n)$: congruences
• On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations
• On the Partition Function p (n )

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