Deviation of the rank and crank modulo 11

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)

zbMATH Keywords

partitionscrankinequalitiescongruencesdissectionsDyson's rank

Mathematics Subject Classification ID

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

This page was built for publication: Deviation of the rank and crank modulo 11

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596364)