A polynomial method for proving congruences of pω(n,m) and pν(n,m)

DOI10.1142/s179304212350063xzbMath1527.11080OpenAlexW4311041230MaRDI QIDQ6107933

Unnamed Author, Ernest X. W. Xia

Publication date: 28 June 2023

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

Full work available at URL: https://doi.org/10.1142/s179304212350063x

zbMATH Keywords

partitionsmock theta functionscongruencespolynomial method

Mathematics Subject Classification ID

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

Cites Work

• New congruences for partitions related to mock theta functions
• Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function \(\omega (q)\)
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
• On congruence properties of the restricted partition functions \(p_{\omega}(n,k)\) and \(p_{\nu}(n,k)\)
• On certain explicit congruences for mock theta functions
• The Final Problem : An Account of the Mock Theta Functions
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