Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions

DOI10.1016/j.jnt.2023.01.006OpenAlexW4322489585MaRDI QIDQ2696068

Misheel Otgonbayar, Faye Jackson

Publication date: 6 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06365

zbMATH Keywords

asymptoticscircle methoddigamma functionparts in partitions\(k\)-indivisible partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items (1)

Hook length biases and general linear partition inequalities

Uses Software

• DLMF

Cites Work

• The number of parts in certain residue classes of integer partitions
• Linear independence of digamma function and a variant of a conjecture of Rohrlich
• On the number of parts of integer partitions lying in given residue classes
• The asymptotic distribution of the rank for unimodal sequences
• Integer partitions, probabilities and quantum modular forms
• Distributions on partitions arising from Hilbert schemes and hook lengths
• STACKS (II)
• On some inequalities for the gamma and psi functions

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