Inequalities between odd moments of rank and crank for overpartitions

DOI10.1007/s00026-017-0367-8zbMath1432.11143OpenAlexW2748548863MaRDI QIDQ1682620

Renrong Mao

Publication date: 30 November 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-017-0367-8

zbMATH Keywords

inequalitiesranksoverpartitionscranksodd moments

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (2)

Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts

Cites Work

• The first positive rank and crank moments for overpartitions
• On the positive moments of ranks of partitions
• Higher order spt-functions
• Inequalities between rank moments of overpartitions
• Rank and conjugation for a second Frobenius representation of an overpartition
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Rank and crank moments for overpartitions
• Relations between the ranks and cranks of partitions
• The odd moments of ranks and cranks
• Combinatorial interpretations of congruences for the spt-function
• Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts
• Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions
• Rank and conjugation for the Frobenius representation of an overpartition
• The spt-crank for overpartitions
• Inequalities for positive rank and crank moments of overpartitions
• Overpartitions
• Asymptotics for rank and crank moments
• Asymptotic inequalities for positive crank and rank moments

This page was built for publication: Inequalities between odd moments of rank and crank for overpartitions