Infinite families of congruences modulo 5 and 7 for the cubic partition function

DOI10.1017/prm.2018.61zbMath1467.11093OpenAlexW2909928051WikidataQ128596180 ScholiaQ128596180MaRDI QIDQ5244480

Olivia X. M. Yao

Publication date: 21 November 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.61

zbMATH Keywords

congruencescubic partitions\( \theta\) function identities

Mathematics Subject Classification ID

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

Cites Work

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• Modular forms whose coefficients possess multiplicative properties
• New congruences modulo 5 for the number of 2-color partitions
• Ramanujan’s “Most Beautiful Identity”
• 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
• New congruences for 2-color partitions

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