Congruences for some partitions related to mock theta functions

DOI10.1142/S1793042118500641zbMath1421.11085OpenAlexW2767048641MaRDI QIDQ4639966

Nancy S. S. Gu, Li-Jun Hao, Su-Ping Cui

Publication date: 15 May 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118500641

zbMATH Keywords

partitionsmock theta functionscongruencesoverpartitions\(spt\)-functions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (3)

A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions ⋮ New congruences modulo 5 for partition related to mock theta function \(\omega (q)\) ⋮ Generating functions and congruences for some partition functions related to mock theta functions

Cites Work

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• New congruences for partitions related to mock theta functions
• Overpartitions into distinct parts without short sequences
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• Rank and crank moments for overpartitions
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
• K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS
• On certain explicit congruences for mock theta functions
• Overpartitions related to the mock theta function $\omega (q)$
• SUMS OF SQUARES AND PARTITION CONGRUENCES
• The number of smallest parts in the partitions of n
• Overpartitions
• Partitions with short sequences and mock theta functions

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