The Andrews-Stanley partition function and $p(n)$: congruences

DOI10.1090/S0002-9939-2010-10551-8zbMath1219.11156OpenAlexW2038781587MaRDI QIDQ2997175

Holly Swisher

Publication date: 6 May 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10551-8

zbMATH Keywords

partitionscongruencesmodular formsShimura correspondenceAndrews-Stanley partition function

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)

Related Items

Some generating functions and inequalities for the andrews–stanley partition functions, A variation of the Andrews-Stanley partition function and two interesting \(q\)-series identities, Dissecting the Stanley partition function

Uses Software

• StanBij.mws

Cites Work

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• Some remarks on sign-balanced and maj-balanced posets
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• Congruence properties for the partition function
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• Multiplicative 𝜂-quotients
• On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations