Deviation of the rank and crank modulo 11
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Publication:6596364
DOI10.1007/S11139-024-00873-YMaRDI QIDQ6596364
Author name not available (Why is that?)
Publication date: 2 September 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Dedekind eta function, Dedekind sums (11F20)
Cites Work
- Dyson's ranks and Appell-Lerch sums
- Ranks of partitions modulo 10
- K. Saito's Conjecture for nonnegative eta products and analogous results for other infinite products
- The generating functions of the rank and crank modulo 8
- Inequalities for the crank
- The ranks of partitions modulo 2
- Relations between the ranks and cranks of partitions
- The ranks and cranks of partitions moduli 2, 3, and 4
- On ranks and cranks of partitions modulo 4 and 8
- A proof of some conjectures of Mao on partition rank inequalities
- Cranks and dissections in Ramanujan's lost notebook
- Inequalities for differences of Dyson's rank for all odd moduli
- New equalities and inequalities for the ranks and cranks of partitions
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions. I.
- Some identities involving the partition function
- Some Properties of Partitions
- The number of smallest parts in the partitions of n
- CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Dyson’s crank of a partition
- A Proof of some identities of Ramanujan using modular forms
- Transformation properties for Dyson’s rank function
- Some properties of partitions in terms of crank
- Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13
- Some Properties of Partitions
- Biases among classes of rank-crank partitions (mod 11)
- New symmetries for Dyson's rank function
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