The Dedekind eta function and D'Arcais-type polynomials

DOI10.1007/s40687-019-0201-5zbMath1472.11122OpenAlexW2999978064WikidataQ126346590 ScholiaQ126346590MaRDI QIDQ2289592

Bernhard E. Heim, Markus Neuhauser

Publication date: 23 January 2020

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-019-0201-5

zbMATH Keywords

partitionspolynomialsDedekind eta functionrecursionsNekrasov-Okounkov

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (10)

Variations of central limit theorems and Stirling numbers of the first kind ⋮ Towards Heim and Neuhauser's unimodality conjecture on the Nekrasov-Okounkov polynomials ⋮ Polynomization of the Liu-Zhang inequality for the overpartition function ⋮ Zeros transfer for recursively defined polynomials ⋮ Symmetric functions and a natural framework for combinatorial and number theoretic sequences ⋮ Zeros of recursively defined polynomials ⋮ Difference equations related to number theory ⋮ On the growth and zeros of polynomials attached to arithmetic functions ⋮ Proof of the Bessenrodt-Ono inequality by induction ⋮ Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser

Cites Work

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• Eta Products and Theta Series Identities
• Sur la lacunarité des puissances de η
• An Identity for the Coefficients of Certain Modular Forms

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