SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION

DOI10.1142/S1793042111004745zbMath1231.11009OpenAlexW2028657516MaRDI QIDQ3173272

Kanan Kumari Ojah, Nayandeep Deka Baruah

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004745

zbMATH Keywords

partitionscongruencesdissectionsRamanujan's cubic continued fraction

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Continued fractions (11A55)

Related Items (18)

Ramanujan’s Elementary Method in Partition Congruences ⋮ New congruences for Andrews' singular overpartitions ⋮ On certain weighted 7-colored partitions ⋮ Congruences for partition functions related to mock theta functions ⋮ Some congruences for 3-component multipartitions ⋮ Some New Congruence Identities of General Partition for pr(n) ⋮ New congruences for \(k\)-tuples \(t\)-core partitions ⋮ The number of tagged parts over the partitions with designated summands ⋮ Identities and congruences for the general partition and Ramanujan's tau functions ⋮ Generalized Frobenius partitions with 6 colors ⋮ Arithmetic properties for cubic partition pairs modulo powers of 3 ⋮ Congruences modulo prime for fractional colour partition function ⋮ Some new congruences modulo 5 for the general partition function ⋮ Arithmetic properties of 3-regular partitions with distinct odd parts ⋮ Infinite families of congruences modulo 7 for Ramanujan's general partition function ⋮ Congruences for a certain partition function ⋮ INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10 ⋮ General congruences modulo 5 and 7 for colour partitions

Cites Work

• M-order generalized Frobenius partitions with M colors
• 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 involving generalized Frobenius partitions
• Congruences involving F-partition functions
• New congruences for generalized Frobenius partitions with two or three colors
• On Somos' dissection identities
• Some Theorems About p_r(n)
• Congruences for the Coefficients of Modular forms and Some New Congruences for the Partition Function
• Further Identities and Congruences for the Coefficients of Modular Forms
• 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 A CLASS OF ETA QUOTIENTS
• Ramanujan congruences for p_-k (mod 11')
• Sur la lacunarité des puissances de η
• Exceptional congruences for powers of the partition function
• Ramanujan Congruences for p_-k(n)
• Identities and Congruences of the Ramanujan Type

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