Counting Partitions inside a Rectangle

DOI10.1137/20M1315828zbMath1453.05010arXiv1805.08375OpenAlexW3103867420MaRDI QIDQ5139658

Stephen Melczer, Greta Panova, Robin Pemantle

Publication date: 10 December 2020

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08375

zbMATH Keywords

partitionscentral limit theoremKronecker coefficients\(q\)-binomial coefficients

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05) Large deviations (60F10)

Related Items (5)

Maximum entropy and integer partitions ⋮ Independent sets of a given size and structure in the hypercube ⋮ Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions ⋮ Durfee squares, symmetric partitions and bounds on Kronecker coefficients ⋮ Positive harmonic functions on the Heisenberg group. II

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