Differences of even and odd numbers of parts of the cubic and analogous partition functions

DOI10.1007/s40590-023-00568-2arXiv2301.10501OpenAlexW4388583127MaRDI QIDQ6186411

Abhishek Sarma, Nayandeep Deka Baruah

Publication date: 9 January 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.10501

zbMATH Keywords

partitionscongruencecubic partitions

Mathematics Subject Classification ID

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

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• An algorithmic approach to Ramanujan-Kolberg identities
• A further look at cubic partitions
• On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
• Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Rama\-nujan
• Ramanujan's Theta Functions
• 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
• Elementary proofs of infinite families of congruences for Merca's cubic partitions

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