Rank and crank moments for partitions without repeated odd parts

DOI10.1142/S1793042115500372zbMath1317.11102arXiv1404.1883OpenAlexW2963357183WikidataQ114072035 ScholiaQ114072035MaRDI QIDQ5248571

Chris Jennings-Shaffer

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1404.1883

zbMATH Keywords

partitionscongruencesmodular formsnumber theorysmallest parts functionquasimodular formsrank momentsCrank moments

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (3)

Asymptotic equidistribution for partition statistics and topological invariants ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts ⋮ Quasimodularity of the kth residual cranks

Cites Work

• Unnamed Item
• Higher order spt-functions
• \(\ell \)-adic properties of smallest parts functions
• Rank and crank moments for overpartitions
• \(M_2\)-rank differences for partitions without repeated odd parts
• Relations between the ranks and cranks of partitions
• Some observations on Dyson's new symmetries of partitions
• The number of smallest parts in the partitions of n
• CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK

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