Parity results for 7-regular and 23-regular partitions
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Publication:3451563
DOI10.1142/S1793042115500992zbMath1391.11144OpenAlexW1865840501MaRDI QIDQ3451563
Kuwali Das, Nayandeep Deka Baruah
Publication date: 17 November 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042115500992
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items
New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\) ⋮ Congruences for 7 and 49-regular partitions modulo powers of 7 ⋮ Partition identities arising from Ramanujan's formulas for multipliers ⋮ Congruences of \(\ell\)-regular partition triples for \(\ell\in\{2, 3, 4, 5\}\) ⋮ Parity of the coefficients of certain eta-quotients ⋮ New parity results for 3-regular partitions ⋮ Certain Diophantine equations and new parity results for 21-regular partitions ⋮ Arithmetic properties for 7-regular partition triples ⋮ Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\)
Cites Work
- Arithmetic properties of \(\ell\)-regular partitions
- Parity results for 9-regular partitions
- On the number of partitions with distinct even parts
- Arithmetic of the 13-regular partition function modulo 3
- Arithmetic properties of partitions with even parts distinct
- Congruences for \(\ell\)-regular partition functions modulo 3
- Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
- Infinite families of infinite families of congruences for \(k\)-regular partitions
- \(l\)-divisibility of \(l\)-regular partition functions
- Divisibility of certain partition functions by powers of primes
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
- A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3
- Congruences for 9-regular partitions modulo 3