Number theoretic properties of generating functions related to Dyson’s rank for partitions into distinct parts

DOI10.1090/S0002-9939-09-10076-XzbMath1216.11093OpenAlexW2024373688MaRDI QIDQ5189173

Maria Monks Gillespie

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10076-x

zbMATH Keywords

generating functionspartitions into distinct partsDyson's rank

Mathematics Subject Classification ID

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

Related Items (1)

Modular forms arising from \(Q(n)\) and Dyson's rank

Cites Work

• Dyson's ranks and Maass forms
• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• Divisibility of certain partition functions by powers of primes
• \(q\)-series identities and values of certain \(L\)-functions
• Distribution of the partition function modulo \(m\)
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Partition identities involving gaps and weights
• Simplicity and Surprise in Ramanujan's "Lost" Notebook
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• Some Properties of Partitions
• Divisibility and distribution of partitions into distinct parts
• Vassiliev invariants and a strange identity related to the Dedekind eta-function
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