Asymptotic inequalities for positive crank and rank moments
From MaRDI portal
Publication:5402119
DOI10.1090/S0002-9947-2013-05945-4zbMath1284.11133arXiv1205.2155OpenAlexW2058849680MaRDI QIDQ5402119
Kathrin Bringmann, Karl Mahlburg
Publication date: 5 March 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.2155
Related Items
The first positive rank and crank moments for overpartitions, Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs, Asymptotics for rank moments of overpartitions, Inequalities for positive rank and crank moments of overpartitions, Integer partitions, probabilities and quantum modular forms, Inequalities between first moments of \(M_2\)-rank and crank for overpartitions, On the number of parts of integer partitions lying in given residue classes, Inequalities between odd moments of rank and crank for overpartitions, Asymptotics for Bailey-type mock theta functions, Ramanujan-type partial theta identities and rank differences for special unimodal sequences, Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions, Asymptotic formulas for spt-crank of partitions, On spt-crank-type functions, Asymptotic equidistribution for partition statistics and topological invariants, Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions, Asymptotics of certain double series in Eulerian form, Some new asymptotic expansions of certain partial theta functions, On the subpartitions of the ordinary partitions. II, Asymptotics for \(q\)-expansions involving partial theta functions, On the number of even and odd strings along the overpartitions of \(n\), Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank, On the explicit construction of higher deformations of partition statistics, On the non-negativity of the spt-crank for partitions without repeated odd parts, Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts, A REMARK ON TAIL DISTRIBUTIONS OF PARTITION RANK AND CRANK, Monotonicity properties for ranks of overpartitions, Peak positions of strongly unimodal sequences, Asymptotic formulae for partition ranks, On asymptotic formulas for certain $q$-series involving partial theta functions, Asymptotics of higher order ospt-functions for overpartitions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher order spt-functions
- On the explicit construction of higher deformations of partition statistics
- Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
- Dyson's ranks and Maass forms
- Durfee polynomials
- Relations between the ranks and cranks of partitions
- The odd moments of ranks and cranks
- On the expansion of the partition functions in a series
- A Tauberian theorem for partitions
- Taylor coefficients of mock-Jacobi forms and moments of partition statistics
- An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences
- The number of smallest parts in the partitions of n
- CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
- CONGRUENCES FOR DYSON'S RANKS
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Dyson’s crank of a partition
- Asymptotic Partition Formulae: (II) Weighted Partitions
- Self-conjugate vector partitions and the parity of the spt-function
- Note on a partition limit theorem for rank and crank
- Asymptotics for rank and crank moments
- Inequalities between ranks and cranks
- Partition congruences and the Andrews-Garvan-Dyson crank
- Partition Statistics and Quasiharmonic Maass Forms
- On the Partition Function p (n )
- Some Properties of Partitions