Congruences for 3-core cubic partitions

DOI10.1007/s13226-022-00262-5zbMath1527.11078MaRDI QIDQ6107481

Robson da Silva, James A. Sellers

Publication date: 3 July 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functioncongruencecubic partition3-core partition

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Continued fractions (11A55) Elementary theory of partitions (11P81)

Cites Work

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• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
• Dyson’s crank of a partition
• Partition congruences and the Andrews-Garvan-Dyson crank
• Proof of a conjecture of Ramanujan
• Ramanujans Vermutung über Zerfällungszahlen.
• New congruences for 2-color partitions

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