Congruence properties modulo powers of 2 for two partition functions

MaRDI QIDQ6614573

Dazhao Tang

Publication date: 7 October 2024

Published in: Journal of the Ramanujan Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partitions into distinct parts1-shell totally symmetric plane partitions

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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• Overpartition pairs modulo powers of 2
• Divisibility of certain partition functions by powers of primes
• Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
• The 2-adic behavior of the number of partitions into distinct parts
• The overpartition function modulo small powers of 2
• The enumeration of totally symmetric plane partitions
• 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5
• On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
• Partitions into distinct parts modulo powers of 5
• The power of \(q\). A personal journey
• Plane partitions. VI: Stembridge's TSPP theorem
• Ramanujans Vermutung über Zerfällungsanzahlen.
• Exact generating functions for the number of partitions into distinct parts
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• A NEW CONGRUENCE MODULO 25 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• Congruences for 1-shell totally symmetric plane partitions
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• NEW INFINITE FAMILIES OF CONGRUENCES MODULO 4 AND 8 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• Proof of a conjecture of Ramanujan
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS
• Congruence properties modulo powers of 2 for overpartitions and overpartition pairs

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Congruence properties modulo powers of \(2\) for \(4\)-regular partitions

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