Multiranks and classical theta functions
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Publication:3133131
DOI10.1142/S1793042118500343zbMath1379.05008arXiv1612.01141MaRDI QIDQ3133131
Publication date: 13 February 2018
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.01141
overpartitionspartition congruencesmultirankpartitions with odd parts distinctclassical theta functions
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (8)
On certain weighted 7-colored partitions ⋮ Congruences modulo powers of 2 for \(t\)-colored overpartitions ⋮ On a generalized crank for \(k\)-colored partitions ⋮ Polynomization of the Liu-Zhang inequality for the overpartition function ⋮ Some inequalities on cranks of cubic partitions modulo 4 and 6 ⋮ Congruences modulo powers of 5 for \(k\)-colored partitions ⋮ Multi-dimensional \(q\)-summations and multi-colored partitions ⋮ Combinatorial proofs of the Ramanujan type congruences modulo \(3\)
Cites Work
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- Partitions with non-repeating odd parts and combinatorial identities
- Ramanujan type identities and congruences for partition pairs
- Multiranks for partitions into multi-colors
- Pairs of partitions without repeated odd parts
- Ramanujan type congruences for a partition function
- Congruences for bipartitions with odd parts distinct
- Distribution of a certain partition function modulo powers of primes
- Partition statistics for cubic partition pairs
- Partitions in 3 colours
- Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
- Rank and crank analogs for some colored partitions
- Congruences modulo powers of 2 for a certain partition function
- New analogues of Ramanujan's partition identities
- Arithmetic properties of partitions with odd parts distinct
- Congruence properties of functions related to the partition function
- Congruences in ordered pairs of partitions
- Biranks for Partitions into 2 Colors
- Arithmetic properties of overpartition pairs
- Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities
- Some Theorems About pr(n)
- A Survey of Multipartitions Congruences and Identities
- 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
- RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
- Some Arithmetic Properties of Overpartition k-Tuples
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Dyson’s crank of a partition
- Linear Congruences for Power Products of Dedekind η-Functions
- An Introduction to Ramanujan's "lost" Notebook
- Overpartitions
- Congruences for Overpartition k-tuples
- An analog of crank for a certain kind of partition function arising from the cubic continued fraction
- An elementary proof of p(11m+6)≡0 (mod 11)
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