Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J

DOI10.4064/aa8193-2-2016zbMath1351.11069arXiv1504.05120OpenAlexW2963491942MaRDI QIDQ3178178

Chris Jennings-Shaffer

Publication date: 8 July 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05120

zbMATH Keywords

partitionscongruencespartition pairssmallest parts functionAndrews' spt function

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (3)

Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Exotic Bailey-Slater spt-functions. I: Group A. ⋮ Legendre theorems for subclasses of overpartitions

Cites Work

• Unnamed Item
• Unnamed Item
• Exotic Bailey-Slater spt-functions. I: Group A.
• \(M_2\)-rank differences for partitions without repeated odd parts
• Combinatorial interpretations of congruences for the spt-function
• Universal mock theta functions and two-variable Hecke-Rogers identities
• Exotic Bailey-Slater spt-functions. II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E
• The spt-crank for overpartitions
• M₂-rank differences for overpartitions
• An Identity Relating a Theta Function to a Sum of Lambert Series
• A strange partition theorem related to the second Atkin–Garvan moment
• 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
• Relations Between the Rank and the Crank Modulo 9
• Dissections of quotients of theta-functions
• Some properties of partitions in terms of crank
• Generalized Lambert series identities
• The Final Problem : An Account of the Mock Theta Functions
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type
• Some Properties of Partitions
• Ramanujan's Lost Notebook

This page was built for publication: Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J