Rank and conjugation for the Frobenius representation of an overpartition
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Publication:2571022
DOI10.1007/s00026-005-0260-8zbMath1114.11081OpenAlexW4206857841MaRDI QIDQ2571022
Publication date: 2 November 2005
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00026-005-0260-8
Related Items (52)
Andrews-Beck type congruences for overpartitions ⋮ Lambert series and conjugacy classes in \(\mathrm{GL}\) ⋮ \(M_2\)-ranks of overpartitions modulo 4 and 8 ⋮ The first positive rank and crank moments for overpartitions ⋮ Exotic Bailey-Slater spt-functions. II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E ⋮ Inequalities between overpartition ranks for all moduli ⋮ Overpartition ranks and quantum modular forms ⋮ Three-parameter mock theta functions ⋮ The spt-crank for overpartitions ⋮ Asymptotics for rank moments of overpartitions ⋮ Inequalities for positive rank and crank moments of overpartitions ⋮ Singular overpartitions ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ Partial theta functions and mock modular forms as \(q\)-hypergeometric series ⋮ Inequalities between odd moments of rank and crank for overpartitions ⋮ Generalizations of mock theta functions and radial limits ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Strict log-subadditivity for overpartition rank ⋮ Generalizations of mock theta functions and Appell-Lerch sums ⋮ Two families of buffered Frobenius representations of overpartitions ⋮ A new approach to the Dyson rank conjectures ⋮ THEOREMS OF LEGENDRE TYPE FOR OVERPARTITIONS ⋮ A characterization of congruences modulo 4 on a SPT function of overpartitions ⋮ Rank differences for overpartitions modulo $6$ ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ Mock modular forms and \(d\)-distinct partitions ⋮ An extension to overpartitions of the Rogers-Ramanujan identities for even moduli ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ On total number parts functions associated to ranks of overpartitions ⋮ Dyson’s rank, overpartitions, and universal mock theta functions ⋮ An overpartition analogue of the \(q\)-binomial coefficients ⋮ Variations of Andrews-Beck type congruences ⋮ Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts ⋮ A Rademacher type formula for partitions and overpartitions ⋮ \(M_2\)-rank of overpartitions and harmonic weak Maass forms ⋮ Eulerian series as modular forms ⋮ Overpartition rank differences modulo 7 by Maass forms ⋮ Monotonicity properties for ranks of overpartitions ⋮ Legendre theorems for subclasses of overpartitions ⋮ Inequalities between rank moments of overpartitions ⋮ \(M_2\)-ranks of overpartitions modulo 6 and 10 ⋮ On a nonlinear relation for computing the overpartition function ⋮ Rank and crank moments for overpartitions ⋮ Unimodal sequence generating functions arising from partition ranks ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook ⋮ Ranks of overpartitions: asymptotics and inequalities ⋮ Generalizations of Dyson’s rank on overpartitions ⋮ Asymptotics of higher order ospt-functions for overpartitions
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