Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts

DOI10.1142/S1793042122500944zbMath1499.11306OpenAlexW4225149789WikidataQ114071804 ScholiaQ114071804MaRDI QIDQ5082496

Hirakjyoti Das, Nayandeep Deka Baruah

Publication date: 16 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500944

zbMATH Keywords

partitiongenerating functioncongruencecolored partition

Mathematics Subject Classification ID

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

Cites Work

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• Identities and congruences for the general partition and Ramanujan's tau functions
• Partitions in 3 colours
• On eight colour partitions
• Congruences modulo powers of 2 for a certain partition function
• New analogues of Ramanujan's partition identities
• Congruences like Ramanujan's for powers of the partition function
• Congruences and recursions for the cubic partition
• Cubic partitions modulo powers of 5
• Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Rama\-nujan
• New congruences modulo 5 for the number of 2-color partitions
• 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
• Ramanujan congruences for p_-k (mod 11')
• Exceptional congruences for powers of the partition function
• The number of cubic partitions modulo powers of 5
• Ramanujan Congruences for p_-k(n)
• New congruences for 2-color partitions

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