The smallest parts function associated with ω(q)

DOI10.1142/S1793042122501160WikidataQ114071782 ScholiaQ114071782MaRDI QIDQ5096642

Liuquan Wang, Yifan Yang

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/1812.00379

zbMATH Keywords

partitionsEisenstein seriesmock theta functionsmallest parts functionscongruences modulo powers of 5

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

A single-variable proof of the omega SPT congruence family over powers of 5 ⋮ Generating functions and congruences for some partition functions related to mock theta functions

Cites Work

• Unnamed Item
• The Andrews-Sellers family of partition congruences
• New congruences for partitions related to mock theta functions
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Exotic Bailey-Slater spt-functions. II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E
• Congruences for Andrews’ spt-function modulo powers of $5$, $7$ and $13$
• The number of smallest parts in the partitions of n
• The number of cubic partitions modulo powers of 5
• The spt-function of Andrews
• A New Proof of Rogers's Transformations of Infinite Series

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