On some relations for the rank moduli 9 and 12
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Publication:1183258
DOI10.1016/0022-314X(92)90035-NzbMath0747.11044MaRDI QIDQ1183258
Publication date: 28 June 1992
Published in: Journal of Number Theory (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83)
Related Items (16)
On ranks and cranks of partitions modulo 4 and 8 ⋮ \(M_2\)-ranks of overpartitions modulo 4 and 8 ⋮ Generalization of Dyson's rank and non-Rogers-Ramanujan partitions ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ Ramanujan-type partial theta identities and rank differences for special unimodal sequences ⋮ New equalities and inequalities for the ranks and cranks of partitions ⋮ FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ RANK AND CONGRUENCES FOR OVERPARTITION PAIRS ⋮ Monotonicity properties for ranks of overpartitions ⋮ Ranks of partitions modulo 10 ⋮ \(M_2\)-ranks of overpartitions modulo 6 and 10 ⋮ The rank of a unimodal sequence and a partial theta identity of Ramanujan ⋮ Distribution of the full rank in residue classes for odd moduli ⋮ A mock theta function identity related to the partition rank modulo 3 and 9
Cites Work
- A proof of the mock theta conjectures
- Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
- On some relations between the rank and the crank
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- On the Geometry of Numbers in Elementary Number Theory
- The Final Problem : An Account of the Mock Theta Functions
- Some Properties of Partitions
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