An analogue of $k$-marked Durfee symbols for strongly unimodal sequences

zbMath1465.05009arXiv2009.10850MaRDI QIDQ4987417

Savana Ammons, Laura Seaberg, Holly Swisher, Young-Jin Kim

Publication date: 3 May 2021

Full work available at URL: https://arxiv.org/abs/2009.10850

zbMATH Keywords

\(k\)-marked strongly unimodal symbolsmultivariate rank generating functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Cites Work

• Unnamed Item
• Quantum Jacobi forms and finite evaluations of unimodal rank generating 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
• Unimodal sequences and ``strange functions: a family of quantum modular forms
• Concave and convex compositions
• Asymptotic formulas for stacks and unimodal sequences
• Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity
• Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols
• Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity
• Quantum modular forms and singular combinatorial series with repeated roots of unity
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• Mock modular forms and singular combinatorial series
• Partition Statistics and Quasiharmonic Maass Forms
• Some Properties of Partitions

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