Exotic Bailey-Slater spt-functions. I: Group A.

DOI10.1016/j.aim.2016.09.034zbMath1416.11154arXiv1408.5395OpenAlexW2962913631MaRDI QIDQ340414

Chris Jennings-Shaffer

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5395

zbMATH Keywords

partitionscongruencesranksBailey pairscranksBailey's lemmapartition pairssmallest parts function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (7)

Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J ⋮ A new approach to the Dyson rank conjectures ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ On recursions for coefficients of mock theta functions ⋮ Legendre theorems for subclasses of overpartitions ⋮ Generating functions and congruences for some partition functions related to mock theta functions

Cites Work

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• Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• RANK DIFFERENCES FOR OVERPARTITIONS
• The number of smallest parts in the partitions of n
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• On the Rank and the Crank Modulo 4 and 8
• Some properties of partitions in terms of crank
• Generalized Lambert series identities
• A New Proof of Rogers's Transformations of Infinite Series
• Some Properties of Partitions

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