Congruences modulo powers of 5 for the crank parity function

DOI10.2989/16073606.2023.2255383MaRDI QIDQ6558467

Dazhao Tang

Publication date: 19 June 2024

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• Partitions weighted by the parity of the crank
• 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5
• Partitions into distinct parts modulo powers of 5
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• The Crank of Partitions Mod 8, 9 and 10
• Dyson’s crank of a partition
• Newton's Identities
• Generating functions and congruences for some partition functions related to mock theta functions
• Some Properties of Partitions
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS
• Some properties of \(p(n),\) the number of partitions of \(n\).
• Ramanujan's theta functions and parity of parts and cranks of partitions

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