The number of parts in certain residue classes of integer partitions

DOI10.1007/s40993-015-0012-8zbMath1377.11110arXiv1505.07045OpenAlexW3099335646WikidataQ59411055 ScholiaQ59411055MaRDI QIDQ292339

Olivia Beckwith, Michael H. Mertens

Publication date: 8 June 2016

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

Full work available at URL: https://arxiv.org/abs/1505.07045

zbMATH Keywords

partitionsgenerating functioncircle method

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items

On the number of parts in congruence classes for partitions into distinct parts ⋮ On the number of parts of integer partitions lying in given residue classes ⋮ Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions ⋮ Asymptotic formulae for mixed congruence stacks ⋮ Asymptotics for the twisted eta-product and applications to sign changes in partitions

Cites Work

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• Period functions and cotangent sums
• On the distribution of the summands of partitions in residue classes
• Integer partitions, probabilities and quantum modular forms
• On the distribution of the summands of unequal partitions in residue classes
• Arithmetic properties of summands of partitions. II
• The distribution of the number of summands in the partitions of a positive integer
• Taylor coefficients of mock-Jacobi forms and moments of partition statistics
• Algebraic independence in positive characteristic: A $p$-adic calculus
• STACKS (II)
• On the Partition Function p (n )
• Period functions for Maass wave forms. I.